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

 Algebra Tutor: None Selected Time limit: 1 Day

Jun 12th, 2015

--------------------------------------------------------------------------------------------------------

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

--------------------------------------------------------------------------------------------------------------

Jun 12th, 2015

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

Jun 12th, 2015

...
Jun 12th, 2015
...
Jun 12th, 2015
Dec 7th, 2016
check_circle