Question

A store sells pairs of slippers for $8 each and robes for $20 each. You can spend a maximum of $90

and want to purchase at least 3 pairs of slippers.
Write the system of inequalities for the scenario

Answer 1

The system of inequalities for the scenario is 8x + 20y ≤ 90 and x ≥ 3.

Step-by-step explanation:

To write the system of inequalities for the scenario, we need to consider the constraints and requirements given.

Let x be the number of pairs of slippers and y be the number of robes.

The price of a pair of slippers is $8, so the cost of x pairs of slippers is 8x.

The price of a robe is $20, so the cost of y robes is 20y.

The total amount spent should not exceed $90, so we can write the inequality as: 8x + 20y ≤ 90.

To purchase at least 3 pairs of slippers, we can write the inequality as: x ≥ 3.

Therefore, the system of inequalities is:
8x + 20y ≤ 90
x ≥ 3