Final answer:
To bake 100 cookies, 6.25 cups of chocolate chips are needed based on the recipe ratio of 2 cups for 32 cookies, calculated using a proportional relationship.
Step-by-step explanation:
To determine how many cups of chocolate chips are needed to bake 100 cookies when the recipe calls for 2 cups for 32 cookies, we need to set up a proportion. The ratio of cups of chocolate chips to the number of cookies is consistent, so we can use cross-multiplication to find the answer.
The original ratio is 2 cups for 32 cookies. To find out how many cups are needed for 100 cookies, we can set it up as follows:
- 2 cups / 32 cookies = x cups / 100 cookies
Cross-multiply to solve for x:
- (2 cups × 100 cookies) = (32 cookies × x cups)
- 200 = 32x
- x = 200 / 32
- x = 6.25 cups
So, you would need 6.25 cups of chocolate chips to make 100 cookies.