Question

11) 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+5.5c=29

g+c=8

Answer 2

Let
g----------------> pounds of granola------------> costs $3 per pound
c----------------> pounds of cranberries-------> cost $5.50 per pound

we know that
3g+5.5c=29---------------------------------------------------------> 3g+5.5c=29
and
g+c=8--------> multiplying by -3 all the expression---------> -3g-3c=-24
------------------------
0g+2.5c=5
2.5c=5---------> c=2
g+c=8----------> g=6

the answer is

The system of equations
3g+5.5c=29
g+c=8

Carlos should buy 2 pounds of cranberries and 6 pounds of granola