A store owner paid a total of $3360 for some skirts and some jumpsuits. He paid $1440 less for the skirts than the jumpsuits. Each skirt cost $18 less than each jumpsuit. The number of skirts he bought was
58 of the number of jumpsuits bought.
- How much did he pay for all the skirts?
- How many skirts did he buy?
|
Skirts |
Jumpsuits |
Difference in cost |
Number of items in 1 set |
Number of sets |
5 |
8 |
|
|
Total cost |
$960 |
$2400 |
|
|
Cost of 1 set |
960 ÷ 5 = $192 |
2400 ÷ 8 = $300 |
300 - 192 = $108 |
|
Cost of each item |
1 u |
1 u + $18 |
$18 |
108 ÷ 18 = 6 |
(a)
Total amount = $3360
Total amount spent on skirts = (3360 - 1440) ÷ 2 = $960
Total amount spent on jumpsuits = 960 + 1440 = $2400
Amount that he paid for all the skirts = $960
(b)
5 sets of skirts = $960
8 sets of jumpsuits = $2400
1 set of skirts = 960 ÷ 5 = $192
1 set of jumpsuits = 2400 ÷ 8 = $300
Difference in the amount paid for each set of jumpsuits and skirts
= 300 - 192
= $108
The extra $108 is due to each jumpsuit costing $18 more than each skirt.
Number of skirts in 1 set
= 108 ÷ 18
= 6
Number of skirts that he bought
= 5 sets of skirts
= 5 x 6
= 30
Answer(s): (a) $960; (b) 30