Question
Denise bought 116 ounces of beans for a bean dip. She bought both 15-ounce cans and 28-ounce cans, and the total number of cans she bought was 6. Which of these systems of equations can be used to determine the number of 15-ounce cans and the number of 28-ounce cans that she bought? Assume x represents the number of 15-ounce cans and y represents the number of 28-ounce cans.
x + y = 6. 15 x + 28 y = 116.
x + y = 6. 28 x + 15 y = 116.
x + y = 116. 15 x + 28 y = 6.
x + y = 6. 15 x + 28 y = 116.
x + y = 6. 28 x + 15 y = 116.
x + y = 116. 15 x + 28 y = 6.
Answers
GPT-4o mini
To determine the number of 15-ounce cans (x) and 28-ounce cans (y) that Denise bought, we can set up a system of equations based on the information given:
1. The total number of cans is 6:
\[ x + y = 6 \]
2. The total weight of beans is 116 ounces:
\[ 15x + 28y = 116 \]
Thus, the correct system of equations is:
\[
\begin{cases}
x + y = 6 \\
15x + 28y = 116
\end{cases}
\]
This corresponds to the first option provided:
**x + y = 6. 15x + 28y = 116.**
1. The total number of cans is 6:
\[ x + y = 6 \]
2. The total weight of beans is 116 ounces:
\[ 15x + 28y = 116 \]
Thus, the correct system of equations is:
\[
\begin{cases}
x + y = 6 \\
15x + 28y = 116
\end{cases}
\]
This corresponds to the first option provided:
**x + y = 6. 15x + 28y = 116.**