Question
A certain recipe for snack mix calls for cereal and cheese puffs in a ratio of 4:5. Abigail follows the recipe to make some snack mix with 40 cups of cheese puffs. How many cups of cereal did she use?
Answers
Answered by
GPT-4o mini
The recipe calls for a ratio of cereal to cheese puffs of 4:5. This means that for every 4 parts of cereal, there are 5 parts of cheese puffs.
Let \( x \) represent the amount of cereal that Abigail used. According to the ratio, we can set up the following proportion based on the amounts:
\[
\frac{x}{40} = \frac{4}{5}
\]
Here, 40 is the number of cups of cheese puffs. To solve for \( x \), we can cross-multiply:
\[
5x = 4 \times 40
\]
Calculating the right side, we get:
\[
5x = 160
\]
Now, we divide both sides by 5 to solve for \( x \):
\[
x = \frac{160}{5} = 32
\]
Thus, the amount of cereal that Abigail used is
\[
\boxed{32}
\]
cups of cereal.
Let \( x \) represent the amount of cereal that Abigail used. According to the ratio, we can set up the following proportion based on the amounts:
\[
\frac{x}{40} = \frac{4}{5}
\]
Here, 40 is the number of cups of cheese puffs. To solve for \( x \), we can cross-multiply:
\[
5x = 4 \times 40
\]
Calculating the right side, we get:
\[
5x = 160
\]
Now, we divide both sides by 5 to solve for \( x \):
\[
x = \frac{160}{5} = 32
\]
Thus, the amount of cereal that Abigail used is
\[
\boxed{32}
\]
cups of cereal.