Let us consider a : b as the given ratio. To convert the ratio as percentage,
Step 1 :
We have to express the given quantity as ratio.
How to express the ratio as fraction ?
If a : b is the given ratio, then it fraction form will be a / b
Step 2 :
Then convert it into percentage.
How to express the ratio as percentage ?
If a/b is the fraction, then its percentage will be (a/b) x 100%.
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 :
Ratio of red to green apple = 1 : 2
Total = 3
a) Fraction of the apples red in the basket = 1/3
b) Fraction of the apples green in the basket = 2/3
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 :
Ratio of blue to black pen = 3 : 5
Total = 8
a) Fraction of the black pen = 5/8
b) Fraction of the blue pen = 3/8
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 :
Ratio of cows to pigs = 2: 3
Total = 5
a) Fraction of the cows on the farm = 2/5
Percentage = (2/5) x 100%
= 40%
b) Fraction of the pigs on the farm = 3/5
Percentage = (3/5) x 100%
= 60%
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 :
Ratio of blue to pink to orange = 4: 5: 2
Total = 11
a) Fraction of the blue = 4/11
b) Fraction of the orange = 2/11
c) Percentage of blue = (4/11) x 100%
= 36.3%
Percentage of orange = (2/11) x 100%
= 18.2%
Percentage of pink = (5/11) x 100%
= 45.4%
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:
Ratio of lemonade and orange juice = 13: 7
Total = 20
a) The percentage of drink is lemonade
= (13/20) × 100
= 65%
b) The percentage of drink is orange juice
= (7/20) × 100
= 35%
Problem 6 :
Convert the following ratios into percentage
a) 5: 4 b) 3: 5
Solution :
a) 5: 4 = 5/4
Converting the fraction as percentage :
= (5/4) x 100%
= 125 %
b) 3: 5 = 3/5
Converting fraction as percentage :
= (3/5) × 100%
= 60 %
Fraction of the apples red in the basket = 1/3
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM