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
[tex]\frac{Socks}{Shoes}[/tex]
10 socks : 5 shoes = [tex]\frac{10}{5}[/tex]
20 socks : x shoes = [tex]\frac{20}{x}[/tex]
Step 4: Set ratio equal to each other and solve
[tex]\frac{10}{5}=\frac{20}{x}\\ 10x = 100\\\frac{10x}{10}=\frac{100}{10}\\x = 10[/tex]
Therefore Giles has 10 shoes when he has 20 socks
