Question 1164906
<br>
As instructed...<br>
Let X represent the number of sweatshirts sold.
Let Y represent the number of hats sold.
Let Z represent the number of key rings sold.<br>
Given:<br>
(1) x+y+z = 33
(2) 65x+23y+4z = 1149
(3) x = 2z<br>
Substitute (3) into (1) and (2) and simplify:<br>
2z+y+z = 33
(4) y+3z = 33<br>
65(2z)+23y+4z = 1149
(5) 23y+134z = 1149<br>
Multiply (4) by 23 and compare to (5):<br>
23y+69z = 759
23y+134z = 1149
65y = 390<br>
You can finish from there:
solve the last equation for y
substitute into (4) to solve for z
substitute into (3) to solve for x<br>