For every good sweater that Jack sold, Jack earned $22. He sold defective sweaters at a discount, which would cause him to lose $4 per defective sweater. In February, for every 23 sweaters sold, 8 were defective. Jack earned $1788 from the sweaters sold.
- How many less sweaters sold were defective than good?
- How much less money did he earn because of the defective sweaters?
|
Good |
Defective |
Total |
Number |
15 u |
8 u |
|
Value |
+ 22 |
- 4 |
|
Total Value |
330 u |
- 32 u |
$1788 |
(a)
Amount that Jack earned
= 330 u - 32 u
= 298 u
298 u = 1788
1 u = 1788 ÷ 298 = 6
Number of less sweaters sold that were defective than good
= 15 u - 8 u
= 7 u
= 7 x 6
= 42
(b)
Number of defective sweaters
= 8 u
= 8 x 6
= 48
Less amount earned for one defective jacket
= 22 + 4
= $26
Less amount earned because of all the defective sweaters
= 48 x 26
= $1248
Answer(s): (a) 42; (b) $1248