Penelope's shop sold vests and jumpsuits. The vests were sold at $60 each and each jumpsuit was sold at
15 of the price of each vest. Penelope sold
16 of the items on the first day and collected $2640.
23 of the items sold on the first day were vests.
- How many jumpsuits were sold on the first day?
- What was the total number of items left after the first day?
(a)
Sold |
Unsold |
Total |
1x3 |
5x3 |
6x3 |
Vests |
Jumpsuits |
|
|
2x1 |
1x1 |
|
|
2 u |
1 u |
15 u |
18 u |
The total number of vests and jumpsuits sold is repeated. Make the total number of vests and jumpsuits sold the same. LCM of 3 and 1 is 3.
|
Vests |
Jumpsuits |
Total |
Number |
2 u |
1 u |
3 u |
Value |
$60 |
$12 |
|
Total value |
120 u |
12 u |
132 u |
Cost of each jumpsuit
=
15 x 60
= $12
Total amount collected from selling the vests and the jumpsuits on the first day
= 120 u + 12 u
= 132 u
132 u = 2640
1 u = 2640 ÷ 132 = 20
Number of jumpsuits sold on the first day
= 1 u
= 20
(b)
Total number of items left after the first day
= 15 u
= 15 x 20
= 300
Answer(s): (a) 20; (b) 300