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?

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