Question

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.

Which is a possible combination of bracelets that Dimitri may have made?

3 simple bracelets and 4 deluxe bracelets
0 simple bracelets and 6 deluxe bracelets
12 simple bracelets and 0 deluxe bracelets
7 simple bracelets and 3 deluxe bracelets

Answer 1

Compute 9x + 20y for each:

- 3 simple, 4 deluxe: 9(3)+20(4)=27+80=107 (not >120)
- 0 simple, 6 deluxe: 9(0)+20(6)=120 (not >120)
- 12 simple, 0 deluxe: 9(12)=108 (not >120)
- 7 simple, 3 deluxe: 9(7)+20(3)=63+60=123 (>120)

So the possible combination is 7 simple and 3 deluxe bracelets.