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 yrepresents 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?

Answer 1

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

Given the inequality 9x + 20y > 120, it is easier to just substituting the answers from the choices and see which ones satisfy the inequality. From the choices, the correct answer is 7 simple bracelets and 3 deluxe bracelets, which yield an answer of 123, which is greater than 120.

Hope this helps!

Answer 2

`(1, 14); (2, 9); (3, 7); ...`

Explanation:

Starting from the relationship between the variables x and y defined, you can obtain:

`x> ((120 - 20y) )/(9)` as long as y is an integer value greater than 0 and less than 6. Therefore, we have infinite combinations that meet the conditions of the statement. Examples of possible combinations for the couple (x, y) are:

`(1, 14); (2, 9); (3, 7); ...`