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? \bigcirc 3 simple bracelets and 4 deluxe bracelets \bigcirc 0 simple bracelets and 6 deluxe bracelets \bigcirc 12 simple bracelets and 0 deluxe bracelets \bigcirc 7 simple bracelets and 3 deluxe bracelets

Explanation:

Step1: Check Option 1

Substitute \(x = 3\), \(y = 4\) into \(9x + 20y\): \(9(3)+20(4)=27 + 80 = 107\). Since \(107
ot>120\), this is invalid.

Step2: Check Option 2

Substitute \(x = 0\), \(y = 6\) into \(9x + 20y\): \(9(0)+20(6)=0 + 120 = 120\). Since \(120
ot>120\), this is invalid.

Step3: Check Option 3

Substitute \(x = 12\), \(y = 0\) into \(9x + 20y\): \(9(12)+20(0)=108+0 = 108\). Since \(108
ot>120\), this is invalid.

Step4: Check Option 4

Substitute \(x = 7\), \(y = 3\) into \(9x + 20y\): \(9(7)+20(3)=63 + 60 = 123\). Since \(123>120\), this is valid.

Answer:

7 simple bracelets and 3 deluxe bracelets