Pamela's shop sold vests and shirts. The vests were sold at $70 each and each shirt was sold at
45 of the price of each vest. Pamela sold
15 of the items on the first day and collected $3024.
45 of the items sold on the first day were vests.
- How many shirts were sold on the first day?
- What was the total number of items left after the first day?
(a)
Sold |
Unsold |
Total |
1x5 |
4x5 |
5x5 |
Vests |
Shirts |
|
|
4x1 |
1x1 |
|
|
4 u |
1 u |
20 u |
25 u |
The total number of vests and shirts sold is repeated. Make the total number of vests and shirts sold the same. LCM of 5 and 1 is 5.
|
Vests |
Shirts |
Total |
Number |
4 u |
1 u |
5 u |
Value |
$70 |
$56 |
|
Total value |
280 u |
56 u |
336 u |
Cost of each shirt
=
45 x 70
= $56
Total amount collected from selling the vests and the shirts on the first day
= 280 u + 56 u
= 336 u
336 u = 3024
1 u = 3024 ÷ 336 = 9
Number of shirts sold on the first day
= 1 u
= 9
(b)
Total number of items left after the first day
= 20 u
= 20 x 9
= 180
Answer(s): (a) 9; (b) 180