For every good sweater that Fred sold, Fred earned $18. He sold defective sweaters at a discount, which would cause him to lose $5 per defective sweater. In April, for every 26 sweaters sold, 6 were defective. Fred earned $2640 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 |
20 u |
6 u |
|
Value |
+ 18 |
- 5 |
|
Total Value |
360 u |
- 30 u |
$2640 |
(a)
Amount that Fred earned
= 360 u - 30 u
= 330 u
330 u = 2640
1 u = 2640 ÷ 330 = 8
Number of more sweaters sold that were good than defective
= 20 u - 6 u
= 14 u
= 14 x 8
= 112
(b)
Number of defective sweaters
= 6 u
= 6 x 8
= 48
Less amount earned for one defective jacket
= 18 + 5
= $23
Less amount earned because of all the defective sweaters
= 48 x 23
= $1104
Answer(s): (a) 112; (b) $1104