At a back-to-school sale at her favorite store, Leah can purchase any pair of pants for $22.74 and any shirt for $10.20. Her parents tell her that she can spend at most $210 on these school clothes.

Question

At a back-to-school sale at her favorite store, Leah can purchase any pair of pants for $22.74 and any shirt for $10.20. Her parents tell her that she can spend at most $210 on these school clothes.

Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of pairs of pants
y = the number of shirts

Answer 1

At a back-to-school sale at her favorite store, Leah can purchase any pair of pants for $22.74 and any shirt for $10.20. Her parents tell her that she can spend at most $210 on these school clothes.

The cost of x pairs of pants is 22.74x and the cost of y shirts is 10.20y. Thus, the inequality in standard form is 22.74x + 10.20y ≤ 210.