Question

Giles is searching for a sock and he discovers he has 10 socks for every 5 pair of shoes.If he has 20 socks, how many pairs of shoes does he have

Answer 1

10 shoes

Explanation:

Step 1: State what is known

Giles has 10 socks for every 5 pairs of shoes

He has 20 socks

Step 2: Set up the ratio

Let 'x' represent how much shoes Giles has

10 socks : 5 shoes

20 socks : x shoes

Step 3: Convert ratio into fraction

`(Socks)/(Shoes)`

10 socks : 5 shoes =
`(10)/(5)`

20 socks : x shoes =
`(20)/(x)`

Step 4: Set ratio equal to each other and solve

`(10)/(5)=(20)/(x)\\ 10x = 100\\(10x)/(10)=(100)/(10)\\x = 10`

Therefore Giles has 10 shoes when he has 20 socks

Answer 2

10

Explanation: