Cindy's shop sold vests and blazers. The vests were sold at $100 each and each blazer was sold at
25 of the price of each vest. Cindy sold
12 of the items on the first day and collected $6120.
34 of the items sold on the first day were vests.
- How many blazers were sold on the first day?
- What was the total number of items left after the first day?
(a)
Sold |
Unsold |
Total |
1x4 |
1x4 |
2x4 |
Vests |
Blazers |
|
|
3x1 |
1x1 |
|
|
3 u |
1 u |
4 u |
8 u |
The total number of vests and blazers sold is repeated. Make the total number of vests and blazers sold the same. LCM of 4 and 1 is 4.
|
Vests |
Blazers |
Total |
Number |
3 u |
1 u |
4 u |
Value |
$100 |
$40 |
|
Total value |
300 u |
40 u |
340 u |
Cost of each blazer
=
25 x 100
= $40
Total amount collected from selling the vests and the blazers on the first day
= 300 u + 40 u
= 340 u
340 u = 6120
1 u = 6120 ÷ 340 = 18
Number of blazers sold on the first day
= 1 u
= 18
(b)
Total number of items left after the first day
= 4 u
= 4 x 18
= 72
Answer(s): (a) 18; (b) 72