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?

Answer 1

Information we know :

9 minutes = 1 simple bracelet

20 minutes = 1 deluxe

Possible combinations :

If x was . . . 1 and if y was . . . 1

[ 9 x 1 ] + [ 20 x 1 ] < 120

If x was . . . 4 and if y was . . . 2

[ 9 x 4 ] + [ 20 x 2 ] < 120

If x was . . . 2 and if y was . . . 5

[ 9 x 2 ] + [ 20 x 5 ] < 120

Answer 2

Answer: 7 simple bracelets and 3 deluxe bracelets

Step-by-step explanation: Let x represents the number of simple bracelets that he has made and y represents the number of deluxe bracelets he has made.

Dimitri takes 9 minutes to make a simple bracelet = 9x

Dimitri takes 20 minutes to make a deluxe bracelet = 20y

We are told that Dimitri has been making bracelets for longer than 120 minutes.

So, 9x + 20y > 120 is the equation.

9 (7) + 20(3) > 120

= 123>120