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

Explanation:

Step1: Test Option 1

Substitute $x=3, y=4$ into $9x + 20y$:
$9(3) + 20(4) = 27 + 80 = 107$
Check if $107 > 120$: No

Step2: Test Option 2

Substitute $x=0, y=6$ into $9x + 20y$:
$9(0) + 20(6) = 0 + 120 = 120$
Check if $120 > 120$: No

Step3: Test Option 3

Substitute $x=12, y=0$ into $9x + 20y$:
$9(12) + 20(0) = 108 + 0 = 108$
Check if $108 > 120$: No

Step4: Test Option 4

Substitute $x=7, y=3$ into $9x + 20y$:
$9(7) + 20(3) = 63 + 60 = 123$
Check if $123 > 120$: Yes

Answer:

7 simple bracelets and 3 deluxe bracelets