For every good sweater that Luke sold, Luke earned $17. He sold defective sweaters at a discount, which would cause him to lose $5 per defective sweater. In July, for every 22 sweaters sold, 10 were defective. Luke earned $770 from the sweaters sold.
- How many more sweaters sold were good than defective?
- How much less money did he earn because of the defective sweaters?
|
Good |
Defective |
Total |
Number |
12 u |
10 u |
|
Value |
+ 17 |
- 5 |
|
Total Value |
204 u |
- 50 u |
$770 |
(a)
Amount that Luke earned
= 204 u - 50 u
= 154 u
154 u = 770
1 u = 770 ÷ 154 = 5
Number of more sweaters sold that were good than defective
= 12 u - 10 u
= 2 u
= 2 x 5
= 10
(b)
Number of defective sweaters
= 10 u
= 10 x 5
= 50
Less amount earned for one defective jacket
= 17 + 5
= $22
Less amount earned because of all the defective sweaters
= 50 x 22
= $1100
Answer(s): (a) 10; (b) $1100