Question

Oscar bought several bags of lemon drop candy and several bags of jelly beans. The number of bagsof beans was 5 more than the number of bags of lemon drops. Jelly bean bags weigh 8 ounces, and drop bags weigh 16 ounces each. The total weight of all the bags of candy was 400 ounces.

A. Write and solve a system of equations that allows you to solve for how many bags of each candy Oscar bought Show all of your

Answer 1

A system of equations that allows you to solve for how many bags of each candy Oscar bought is
`16x+8(x+5)=400` and The number of bags of lemon drops and number of bags of beans are 15 and 20 respectively

Explanation:

Let x be the number of bags of lemon drops

We are given that The number of bags of beans was 5 more than the number of bags of lemon drops

So, The number of bags of beans =x+5

Jelly bean bags weigh 8 ounces, and drop bags weigh 16 ounces each.

So, Weight of x bags of lemon drops = 16x

So, Weight of (x+5) bags of lemon drops = 8(x+5)

The total weight of all the bags of candy was 400 ounces.

So,
`16x+8(x+5)=400`

`16x+8x+40=400`

`24x+40=400`

`24x=360`

`x=(360)/(24)`

x= 15

The number of bags of lemon drops are 15

The number of bags of beans =x+5 =15+5=20

Hence a system of equations that allows you to solve for how many bags of each candy Oscar bought is
`16x+8(x+5)=400` and The number of bags of lemon drops and number of bags of beans are 15 and 20 respectively