EXPRESSING RATIO AS PERCENTAGE WORKSHEET

Problem 1 :

The ratio of red apples to green apples in a basket is 1 : 2

a) What fractions of the apples in the basket are red?

b) What fractions of the apples in the basket are green?

Solution

Problem 2 :

The ratio of blue pens to black pens in a box 3 : 5

a) What fractions of the pens are black?

b) What fractions of the pens are blue?

Solution

Problem 3 :

A farmer keeps cows and pigs on his farm. The ratio of cows to pigs on the farm is 2: 3

a) What percentage of the animals on the farm are cows?

b) What percentage of the animals on the farm are pigs?

Solution

Problem 4 :

Olivia has blue, pink and orange counters in a bag.

The ratio of blue to pink to orange counters is 4: 5: 2

a) What fractions of the counters are blue?

b) What fractions of the counters are orange?

c) Express the quantities in percentage.

Solution

Problem 5 :

Chris makes a drink by mixing lemonade and orange juice in the ratio 13: 7

a) What percentage of the drink is lemonade?

b) What percentage of the drink is orange juice?

Solution

Problem 6 :

Convert the following ratios into percentage

a) 5: 4     b) 3: 5

Solution

Answer Key

1)  a) Fraction of the apples red in the basket = 1/3

b) Fraction of the apples green in the basket = 2/3

2) a) Fraction of the black pen = 5/8

b) Fraction of the blue pen = 3/8

3)   a) 40%   b) 60%

4)  a) Fraction of the blue = 4/11

b) Fraction of the orange = 2/11

c) 36.3%

Percentage of orange = 18.2%

Percentage of pink =  45.4%

5)  a) The percentage of drink is lemonade = 65%

b) The percentage of drink is orange juice = 35%

6)  a) 5: 4 = 5/4

Converting the fraction as percentage = 125 %

b) 3: 5 = 3/5

Converting fraction as percentage = 60 % 

Fraction of the apples red in the basket = 1/3

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