Question

Alex won a gift card worth $96.00 for winning a design competition. She decided to spend her winnings on sketchbooks and paint sets. Each sketchbook (x) costs $12.00, while each paint set (y) costs $15.00.

Which of the following combinations of sketchbooks and paint sets can Alex purchase, assuming she spends her entire gift card?

(1 point)

3 sketchbooks and 4 paint sets

2 sketchbooks and 5 paint sets

1 sketchbook and 4 paint sets

​​​​4 sketchbooks and 3 paint sets

Answer 1

Only 3 sketchbooks and 4 paint sets.

Check each total:
- 3×\$12 + 4×\$15 = \$36 + \$60 = \$96 ✅
- 2×\$12 + 5×\$15 = \$24 + \$75 = \$99 ✖
- 1×\$12 + 4×\$15 = \$12 + \$60 = \$72 ✖
- 4×\$12 + 3×\$15 = \$48 + \$45 = \$93 ✖