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?
Accepted Solution
A:
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