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

Answer:

10 shoes

Step-by-step 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

$\frac{Socks}{Shoes}$

10 socks : 5 shoes = $\frac{10}{5}$

20 socks : x shoes = $\frac{20}{x}$

Step 4: Set ratio equal to each other and solve

$\frac{10}{5}=\frac{20}{x}\\ 10x = 100\\\frac{10x}{10}=\frac{100}{10}\\x = 10$

Therefore Giles has 10 shoes when he has 20 socks

Answer 2

Answer:

10

Step-by-step explanation: