Question

In a 3rd grade PE class, 3/4 of all of the boys are paired to 4/5 of all of the girls for a game on the playground. Each pair consists of one girl and one boy. What fraction of the entire class is paired for the game

Answer 1

The fraction of the entire class paired for the game is: 24/31

Fraction of the entire class paired for the game

From the task content:

• It follows that; (3/4)x = 4/5y

• And x + y = 1.

Hence, it follows that;

• y = (15/16)x

By substitution;

• x + (15/16)x = 1

• (31/16)x = 1

• x = 16/31 and y = 15/31

Hence;

• (3/4)×16/31 = 12/31
• (4/5) × 15/31 = 12/31

Hence, the fraction of the entire that was paired is; 12/31 + 12/31 = 24/31.

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Answer 2

The fraction of the entire class is paired for the game is mathematically given as

Y=24/31

The fraction of the entire class is paired for the game

Question Parameters:

In a 3rd grade PE class, 3/4 of all of the boys are paired to 4/5 of all of the girls for a game on the playground.

Generally the equation for the statement  is mathematically given as

3/4 boys=4/5girls

Therefore

b/g=16/15

Hemece

Total class

T=16x+15x=31x

Paired student

Y=3/4=(16x)+4/5(15x)

The fraction paired for the game is

Y=24/31

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