Question

Carol is ordering t-shirts for her club and there are two different patterns to choose from. The first shirt is green and blue stripes and the second shirt is white with purple flowers. The green and blue striped shirt is $15 and the white with purple flowers is $13. She needs to order 24 shirts and has a total of $340 to spend. How many of each shirt can she order?

Question 5 options:


14 Striped and 10 Flowered


10 Striped and 14 Flowered


9 Striped and 15 Flowered


15 Striped and 9 Flowered

Answer 1

14 Striped and 10 Flowered

Explanation:

This can best be determined using a set of linear equations that are solved simultaneously.

This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations. It may be solved by substitution in that one of the variable is made the subject of the equation and the result is substituted into the second equation

Given that the green and blue striped shirt is $15 and the white with purple flowers is $13. She needs to order 24 shirts and has a total of $340 to spend, let the number of striped shirts be g and that of flowered be h then,

g + h = 24 and

15g + 13h = 340

g = 24 - h

15(24 - h) + 13h = 340

360 - 15h + 13h = 340

2h = 20

h = 10

g = 24 - h

g = 24 - 10

= 14