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

Answer:

1/2 cup of chocolate chips

Step-by-step explanation:

Given ratio:

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

Let x be the unknown amount of chocolate chips:

$\implies \sf \dfrac{1}{3}:2=x:3$

$\implies \sf \dfrac{\frac{1}{3}}{2}=\dfrac{x}{3}$

Cross multiply:

$\implies \sf 3 \cdot \dfrac{1}{3}=2 \cdot x$

$\implies \sf 1=2x$

$\implies \sf x=\dfrac{1}{2}$

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

Answer 2

Let that be x

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