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

Answer:

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

Step-by-step 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:

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

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

$2.50*c=29-24$

$c=\frac{5}{2.50}$

$c=2$

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.