Question
Monica makes tomato sauce with the plants she grows in her garden. She uses 3 basil leaves in her sauce for every 8 tomatoes. She is making a big batch of sauce with 32 tomatoes from her garden.
How many basil leaves should Monica use in her sauce?
How many basil leaves should Monica use in her sauce?
Answers
GPT-4o mini
To find out how many basil leaves Monica should use for 32 tomatoes, we can set up a proportional relationship based on the ratio of basil leaves to tomatoes.
The ratio of basil leaves to tomatoes is given as 3 basil leaves for every 8 tomatoes. This can be written as:
\[
\frac{3 \text{ basil leaves}}{8 \text{ tomatoes}} = \frac{x \text{ basil leaves}}{32 \text{ tomatoes}}
\]
To find \( x \), we can cross-multiply:
\[
3 \times 32 = 8 \times x
\]
Calculating \( 3 \times 32 \):
\[
96 = 8x
\]
Now, we solve for \( x \):
\[
x = \frac{96}{8} = 12
\]
Therefore, Monica should use **12 basil leaves** for her sauce made with 32 tomatoes.
The ratio of basil leaves to tomatoes is given as 3 basil leaves for every 8 tomatoes. This can be written as:
\[
\frac{3 \text{ basil leaves}}{8 \text{ tomatoes}} = \frac{x \text{ basil leaves}}{32 \text{ tomatoes}}
\]
To find \( x \), we can cross-multiply:
\[
3 \times 32 = 8 \times x
\]
Calculating \( 3 \times 32 \):
\[
96 = 8x
\]
Now, we solve for \( x \):
\[
x = \frac{96}{8} = 12
\]
Therefore, Monica should use **12 basil leaves** for her sauce made with 32 tomatoes.