it takes dimitri 9 minutes to make a simple bracelet and 20 minutes to make a deluxe bracelet. he has been…

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

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

Explanation:

Step1: Test option A

Substitute $x = 3$ and $y=4$ into $9x + 20y$. $9\times3+20\times4=27 + 80=107<120$.

Step2: Test option B

Substitute $x = 0$ and $y = 6$ into $9x+20y$. $9\times0+20\times6=0 + 120=120$, but the inequality is $9x + 20y>120$, so this is not valid.

Step3: Test option C

Substitute $x = 12$ and $y = 0$ into $9x+20y$. $9\times12+20\times0=108<120$.

Step4: Test option D

Substitute $x = 7$ and $y = 3$ into $9x+20y$. $9\times7+20\times3=63+60 = 123>120$.

Answer:

7 simple bracelets and 3 deluxe bracelets