Question

Alex's recipe calls for 1/3 cup of chocolate chips for every 2 cups of flour. If he increases the

amount of flour to 3 cups, how many cups of chocolate chips will he need?

Answer 1

Let that be x

• 1/3/2=x/3
• 1/6=x/3
• x=3/6
• x=1/2 cup

Answer 2

1/2 cup of chocolate chips

Explanation:

Given ratio:

• chocolate chips : flour = 1/3 cups : 2 cups

Let x be the unknown amount of chocolate chips:

`\implies \sf (1)/(3):2=x:3`

`\implies \sf ((1)/(3))/(2)=(x)/(3)`

Cross multiply:

`\implies \sf 3 \cdot (1)/(3)=2 \cdot x`

`\implies \sf 1=2x`

`\implies \sf x=(1)/(2)`

Therefore, 1/2 a cup of chocolate chips will be needed for 3 cups of flour.