AnswersAPSB 2025 Math Essentials-ALPModeling with Two-Variable Linear InequalitiesQuestion 2
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Modeling with Two-Variable Linear Inequalities

Question 2 • APSB 2025 Math Essentials-ALP

It takes Dimitri 9 minutes to make a simple bracelet and 20 minutes to make a deluxe bracelet. He has been making bracelets for longer than 120 minutes. If x represents the number of simple bracelets that he has made and y represents the number of deluxe bracelets he has made, the inequality 9x + 20y > 120 represents the scenario.

Answer
A
3 simple bracelets and 4 deluxe bracelets
B
0 simple bracelets and 6 deluxe bracelets
C
12 simple bracelets and 0 deluxe bracelets
D
7 simple bracelets and 3 deluxe bracelets

Explanation

Substitute each bracelet count into 9x + 20y > 120. For 7 simple and 3 deluxe bracelets, the total time is 9(7) + 20(3) = 63 + 60 = 123 minutes, which is greater than 120. The other choices take 107, 120, and 108 minutes, so they do not meet the inequality.

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