Shiyun's shop sold blazers and blouses. The blazers were sold at $50 each and each blouse was sold at
12 of the price of each blazer. Shiyun sold
14 of the items on the first day and collected $3000.
23 of the items sold on the first day were blazers.
- How many blouses were sold on the first day?
- What was the total number of items left after the first day?
(a)
Sold |
Unsold |
Total |
1x3 |
3x3 |
4x3 |
Blazers |
Blouses |
|
|
2x1 |
1x1 |
|
|
2 u |
1 u |
9 u |
12 u |
The total number of blazers and blouses sold is repeated. Make the total number of blazers and blouses sold the same. LCM of 3 and 1 is 3.
|
Blazers |
Blouses |
Total |
Number |
2 u |
1 u |
3 u |
Value |
$50 |
$25 |
|
Total value |
100 u |
25 u |
125 u |
Cost of each blouse
=
12 x 50
= $25
Total amount collected from selling the blazers and the blouses on the first day
= 100 u + 25 u
= 125 u
125 u = 3000
1 u = 3000 ÷ 125 = 24
Number of blouses sold on the first day
= 1 u
= 24
(b)
Total number of items left after the first day
= 9 u
= 9 x 24
= 216
Answer(s): (a) 24; (b) 216