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What percent of a quantity is another quantity

Source: licencja: CC 0.

Jaki procent jednej wielkości stanowi inna wielkość

Learning objectives

  • You will learn to calculate what percent of the given number b is number a and to apply percentage calculations to do exercises.

Learning effect

  • You can calculate what percent of the given number b is number a and apply percentage calculations to do exercises.

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nagranie abstraktu

Revise the ways we can calculate what fractionfractionfraction of the number b is the given number a. Then revise ways we can convert fractions into percents. How to calculate what percentpercentpercent of the number b is the given number a?

Using information you revised, to the task.

Task 1
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nagranie abstraktu
  • Calculate what percentpercentpercent of number 60 is number 15.

  • Convert obtained value into percent.

  • Answer the question: what percentpercentpercent of number 60 is number 15?

  • Write the conclusion.

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nagranie abstraktu

Is your conclusion the same as the following one?

Conclusion:

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nagranie abstraktu
  • To calculate what percentpercentpercent of the given number b is the number a we need to calculate what fractionfractionfraction of number b is number a first. Then we convert obtained fraction into percent.

Task 2
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nagranie abstraktu

Calculate what percentpercentpercent of the given number b is number a.

a) a = 70, b = 35

b) a = 200, b = 24

c) a = 16, b = 240

Task 3
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nagranie abstraktu

Open the slideshow and observe how we can calculate percentpercentpercent of raise or discount based on the initial and final pricefinal pricefinal price and how to compare prices of various products.

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Pokaz multimedialny - Procentowe porównywanie cen. Instrukcja obsługi z poziomu klawiatury: 1. Uruchomienie aplikacji - ENTER, 2. Na każdym ze slajdów czytany jest automatycznie tekst alternatywny po polsku, 3. Przy pierwszym uruchomieniu na pierwszym slajdzie, czytanie tekstu po angielsku - TAB, 4. Przejście między slajdami: do następnego slajdu - TAB, do poprzedniego slajdu - TAB + SHIFT, 5. Przejście do czytania napisu po angielsku - strzałka w górę + strzałka w dół (czyta tekst po angielsku widoczny na slajdzie).
Source: GroMar, licencja: CC BY 3.0.
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nagranie abstraktu

After having completed the exercise present results of your observations. Are they the same as the following conclusion?

Conclusion:

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nagranie abstraktu
  • To calculate by how many percentpercentpercent the price was increased or decreased we need to calculate what percent of the initial value is the difference in the price.

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nagranie abstraktu

Using obtained skills, do text exercises and write answers.

Task 4
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nagranie abstraktu

A book cost 35 PLN. After discount, the same book can be bought for 28 PLN. By how many percentpercentpercent was the price decreased?

Task 5
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nagranie abstraktu

Price of the camera used to be 500 PLN. The owner of the shop decided to raise prices and now it costs 580 PLN. By how many percentpercentpercent was the price raised?

Task 6
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nagranie abstraktu

In a certain class there are 28 students, including 12 girls. There are more boys in this class, by how many percentpercentpercent?

Task 7
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nagranie abstraktu

After a raise, Miss Jola gets 3156,50 PLN salary. By how many percent was her salary raised if before it was 2950 PLN?

Task 8
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Marysia got 1500 PLN for her birthday. She bought a dreamed phone right away, that cost 650 PLN. How many percentpercentpercent of the money did she spend on the phone?

Task 9

An extra task:

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nagranie abstraktu

By how many percent will the area of a square increase if its perimeter is increased by 40%?

Remember:

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nagranie abstraktu
  • To calculate what percentpercentpercent of the given number b is the number a we need to calculate what fractionfractionfraction of number b is number a first. Then we convert obtained fraction into percent.

  • To calculate by how many percentpercentpercent the price was increased or decreased we need to calculate what percent of the initial value is the difference in the price.

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nagranie abstraktu

Do the revision exercises.

Exercises

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Exercise 1
Wersja alternatywna ćwiczenia: Karolina got 320 PLN from her mum for shopping and Kasia got 400 PLN. By how many percent does Kasia have more money? Możliwe odpowiedzi: 1. by 80%, 2. by 25%, 3. by 20%, 4. by 30%
zadanie
Source: GroMar, licencja: CC BY 3.0.
Exercise 2

Bananas cost 3,50 PLN, grapes 7,30 PLN and apples 2 PLN per kilogram.

Calculate by how many percent are bananas cheaper than grapes and by how many percent are they more expensive than apples.

Exercise 3

Emilka wants to take part in a math contest. Through the weekend, she did 24% of exercises prepared by the teacher. How many exercises did the teacher prepare if Emilka has 57 exercises left?

Write the solution and the answer in English.

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Exercise 4
Wersja alternatywna ćwiczenia: Indicate which pairs of expressions or words are translated correctly. Możliwe odpowiedzi: 1. procent - percent, 2. ułamek - fraction, 3. zamiana ułamka na procent - converting fraction into percent, 4. jakim ułamkiem liczby a jest dana liczba b - what percent of the given number b is number a, 5. wzrost ceny - initial price, 6. cena końcowa - difference in prices
zadanie
Source: GroMar, licencja: CC BY 3.0.
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Interaktywna gra, polegająca na łączeniu wyrazów w pary w ciągu jednej minuty. Czas zaczyna upływać wraz z rozpoczęciem gry. Jeden ruch to odkrywanie najpierw jednej potem drugiej karty z wyrazem. Każdy wyraz jest odczytywany. Kolejny ruch to odkrywanie trzeciej i czwartej karty. W ten sposób odsłuchasz wszystkie wyrazy. Nawigacja z poziomu klawiatury za pomocą strzałek, odsłuchiwanie wyrazów enterem lub spacją. Znajdź wszystkie pary wyrazów.
Source: Zespół autorski Politechniki Łódzkiej, licencja: CC BY 3.0.

Glossary

by how many percent did the price change
by how many percent did the price change

o ile procent zmieniła się cena

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wymowa w języku angielskim: by how many percent did the price change
converting fraction into percent
converting fraction into percent

zamiana ułamka na procent

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wymowa w języku angielskim: converting fraction into percent
decresing the price
decresing the price

zmniejszenie ceny

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wymowa w języku angielskim: decresing the price
difference in prices
difference in prices

różnica cen

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wymowa w języku angielskim: difference in prices
final price
final price

cena końcowa

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wymowa w języku angielskim: final price
fraction
fraction

ułamek

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wymowa w języku angielskim: fraction
increasing the price
increasing the price

wzrost ceny

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wymowa w języku angielskim: increasing the price
initial price
initial price

cena początkowa

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wymowa w języku angielskim: initial price
percent
percent

procent

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wymowa w języku angielskim: percent
what percent of a quantity is another quantity
what percent of a quantity is another quantity

jaki procent danej wielkości stanowi inna wielkość

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wymowa w języku angielskim: what percent of a quantity is another quantity
what percent of the given number b is number a
what percent of the given number b is number a

jaki procent danej liczby b stanowi liczba a

R1AcJ5Zkw3vMD1
wymowa w języku angielskim: what percent of the given number b is number a

Keywords

by how many percent did the price changeby how many percent did the price changeby how many percent did the price change – jakim procentem wartości początkowej jest różnica danych cen

converting fraction into percentconverting fraction into percentconverting fraction into percent

what percent of a quantity is another quantitywhat percent of a quantity is another quantitywhat percent of a quantity is another quantity

what percent of the given number b is number awhat percent of the given number b is number awhat percent of the given number b is number a – jakim ułamkiem liczby b jest liczba a