Which is a possible combination of bracelets that Dimitri may have made?
Algebra

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9x + 7y > 120
The correct combination must satisfy the inequality.
Let us consider each option.
Option 1: 3 simple bracelets and 4 deluxe bracelets
Substitute x = 3 and y = 4 in the equation
LHS = 9*3 + 20*4 = 27 + 80 = 107 < 120
It should be grater than 120.The inequality is not satisfied. So, this is not the correct combination.
Option 2: 0 simple bracelets and 6 deluxe bracelets
Substitute x = 0 and y = 6 in the equation
LHS = 9*0 + 20*6 = 0 + 120 = 120
It should be grater than 120.The inequality is not satisfied. So, this is not the correct combination.
Option 3: 12 simple bracelets and 0 deluxe bracelets
Substitute x = 12 and y = 0 in the equation
LHS = 9*12 + 20*0 = 108 + 0 = 108 < 120
It should be grater than 120.The inequality is not satisfied. So, this is not the correct combination.
Option 4: 7 simple bracelets and 3 deluxe bracelets
Substitute x = 7 and y = 3 in the equation
LHS = 9*7 + 20*3 = 63 + 60 = 123 > 120
It is grater than 120.The inequality is not satisfied. So, this is the correct combination.
ANSWER: 7 simple bracelets and 3 deluxe bracelets

Please let me know if you need any clarification. I'm always happy to answer your questions.Sorry under option 4 it must have been "inequality is satisfied".
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