Question

June, Gavyn and Alex share some sweets in the ratio 5:3:2. June gets 42 more sweets than Alex. How many sweets does Gavyn get?

Answer 1

Answer:

42 sweets

Step-by-step explanation:

The ratios are 5 : 3 : 2 = 5x : 3x : 2x (x is a multiplier )

June gets 42 more sweets than Alex , then

5x = 2x + 42 ( subtract 2x from both sides )

3x = 42 ( divide both sides by 3 )

x = 14

Gavyn = 3x = 3 × 14 = 42 sweets

Answer 2

Answer:

42 sweets.

Step-by-step explanation:

First work out the number of parts:

5 + 3 + 2 = 10.

So June gets 5/10 = 1/2 of the sweets.

Alex gets 2/10 = 1/5.

Gavyn gets 3/10.

If the total number of sweets was x, then:

1/2 x - 1/5 x = 42

5/10x - 2/10 x = 42

3/10 x = 42

x = 42*10/3 = 140.

So Gavyn has 3/10 * 140 = 42.