Question
Rick has a bowl of just strawberries and grapes with his lunch. There are 5 times as many grapes as strawberries, for a total of 45 grapes in the bowl. How many strawberries are in the bowl?
Answers
GPT-4o mini
Let's denote the number of strawberries as \( s \) and the number of grapes as \( g \).
According to the problem, we know two things:
1. The number of grapes is 5 times the number of strawberries.
2. The total number of grapes is 45.
We can express these relationships with the equations:
\[
g = 5s
\]
\[
g = 45
\]
Since both equations involve \( g \), we can set them equal to each other:
\[
5s = 45
\]
To find \( s \), we can divide both sides by 5:
\[
s = \frac{45}{5} = 9
\]
Now, we have determined that the number of strawberries is \( s = 9 \).
To ensure correctness, we can check how many grapes correspond to this number of strawberries:
\[
g = 5s = 5 \times 9 = 45
\]
Thus, the calculations check out. The number of strawberries in the bowl is \(\boxed{9}\).
According to the problem, we know two things:
1. The number of grapes is 5 times the number of strawberries.
2. The total number of grapes is 45.
We can express these relationships with the equations:
\[
g = 5s
\]
\[
g = 45
\]
Since both equations involve \( g \), we can set them equal to each other:
\[
5s = 45
\]
To find \( s \), we can divide both sides by 5:
\[
s = \frac{45}{5} = 9
\]
Now, we have determined that the number of strawberries is \( s = 9 \).
To ensure correctness, we can check how many grapes correspond to this number of strawberries:
\[
g = 5s = 5 \times 9 = 45
\]
Thus, the calculations check out. The number of strawberries in the bowl is \(\boxed{9}\).