Question

Carlos wants to mix granola and cranberries together to make trail mix. Granola costs $3 per pound and cranberries cost $5.50 per pound. Carlos is willing to spend $29 and wants to make 8 pounds of trail mix. Which system of equations could Carlos use to figure out how many pounds of granola (g) and cranberries (c) she should buy?

Answer 1

3g+5.50c= $29
If u need more details on how I got the equation just comment below

Answer 2

Carlos has to buy 6 pounds of granola and 2 pounds of cranberries.

Explanation:

We need an equation to calculate the money spend when buying granola (g) and cranberries (c). Carlos wants to spend $29 and make 8 pounds of mix. The equations are:

`3*g+5.50*c=29` Eq. 1

`g+c=8` Eq. 2

This is the system of equations that Carlos have to use.

Solving it, we have:

`g=8-c` Replacing it in the first one:

`3*(8-c)+5.50*c=29`

`24-3c+5.50*c=29`

`2.50*c=29-24`

`c=(5)/(2.50)`

`c=2`

Calculating g from the equation 2:

`g=8-c`

`g=8-2`

`g=6`

Carlos has to buy 6 pounds of granola and 2 pounds of cranberries.