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

7 simple and 3 deluxe

Explanation:

Answer 2

7 simple bracelets and 3 deluxe bracelets

Explanation:

Let x be the number of simple bracelets

Dimitri takes 9 minutes to make a simple bracelet

So, Time taken by him to make x bracelets = 9x

Let y be the number of deluxe bracelets

He takes 20 minutes to make a deluxe bracelet

So,Time taken by him to make y deluxe bracelets = 20y

We are given that He has been making bracelets for longer than 120 minutes.

So, 9x+20y>120

A)3 simple bracelets and 4 deluxe bracelets

So,9(3)+20(4)>120

`107 \\gtr 120`

So, it is not a possible combination

B) 0 simple bracelets and 6 deluxe bracelets

9(0)+20(6)>120

`120 \\gtr 120`

So, it is not a possible combination

C) 12 simple bracelets and 0 deluxe bracelets

9(12)+20(0)>120

`108 \\gtr 120`

So, it is not a possible combination

D) 7 simple bracelets and 3 deluxe bracelets

9(7)+20(3)>120

123>120

So, it is a possible combination

So, Option D is true