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.
Answer
A
x plus y is equal to 116 15 x plus 28 y is equal to 6
B
x plus y is equal to 116 28 x plus 15 y is equal to 6
C
x plus y is equal to 6 15 x plus 28 y is equal to 116
D
x plus y is equal to 6 28 x plus 15 y is equal to 116
Explanation
The total number of cans is 6, so the numbers of each kind add to give x + y = 6. The 15-ounce cans contribute 15x ounces, and the 28-ounce cans contribute 28y ounces; together they weigh 116 ounces, so 15x + 28y = 116. These equations match choice C.
AI-written and checked against the verified answer.