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

label Algebra
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Jun 12th, 2015

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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

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Jun 12th, 2015

Sorry under option 4 it must have been "inequality is satisfied". 

Jun 12th, 2015

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