Systems of Inequalities Practice

Question

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Question
Tonya can spend a maximum of $75 on meat for a family picnic. It costs $5 for a pound of hotdogs and $6 for a pound of hamburger. Tonya wants to purchase at least 12 pounds of meat. Let x=
number of pounds of hotdogs and y=
number of pounds of hamburger. Enter the inequality that represents each constraint.(1 point)
The inequality for the amount of money spent is $$
.

The inequality for the number of pounds bought is $$
.

Remaining Attempts : 3
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Answer 1

To solve this problem, we need to represent the constraints using inequalities.

1. Money constraint: Tonya can spend a maximum of $75 on meat. The cost of hotdogs is $5 per pound (represented as \(5x\)) and the cost of hamburgers is $6 per pound (represented as \(6y\)). Therefore, the inequality for the amount of money spent is:

   \[ 5x + 6y \leq 75 \]

2. Pounds of meat constraint: Tonya wants to purchase at least 12 pounds of meat. Therefore, the inequality for the number of pounds bought is:

   \[ x + y \geq 12 \]

In summary:

• The inequality for the amount of money spent is \(5x + 6y \leq 75\).
• The inequality for the number of pounds bought is \(x + y \geq 12\).