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.

Answer 1

15x + 28y = 116
x + y = 6

that would be ur system of equations

Answer 2

Thus, the system of equations is given by,

`x+y=6\\\\15x+28y=116`

Explanation:

We are given that,

The number of 15-ounce cans = x and the number of 28-ounce cans = y.

Denise bought total 6 cans. So, we have,

`x+y=6`

Also, she bought total of 116 ounces of beans with 15 ounces in 'x' cans and 28 ounces in 'y' cans.

So, the equation is
`15x+28y=116`

Thus, the system of equations is given by,

`x+y=6\\\\15x+28y=116`