Final answer:
Lynda can buy 11 boxes of macaroni and cheese with her budget after setting aside $5 for oranges. The cost per box is $3, and she gets two boxes for free, so the equation for her purchase is m = (32 - 5) / 3.
Step-by-step explanation:
The correct equation representing the relationship between the total number of boxes of macaroni and cheese, m, that Lynda can buy with her $32.00 budget, after buying oranges for $5 and receiving two free boxes of macaroni and cheese, considering the cost of $3 per box is:
m = (32 - 5) / 3
Here's the step-by-step explanation:
- First, Lynda sets aside $5 for oranges from her $32 budget, leaving her with $32 - $5 = $27 for macaroni and cheese.
- The cost per box is $3, so to find out how many boxes she can buy, we divide the amount she has left by the cost per box: $27 ÷ $3 = 9 boxes.
- However, Lynda gets two extra free boxes, so the total number of boxes, m, she can buy is 9 + 2 = 11 boxes.
Therefore, the equation m = (32 - 5) / 3 correctly represents her macaroni and cheese purchase situation.