Zoe's shop sold vests and blouses. The vests were sold at $120 each and each blouse was sold at
34 of the price of each vest. Zoe sold
15 of the items on the first day and collected $4410.
12 of the items sold on the first day were vests.
- 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 |
1x2 |
4x2 |
5x2 |
Vests |
Blouses |
|
|
1x1 |
1x1 |
|
|
1 u |
1 u |
8 u |
10 u |
The total number of vests and blouses sold is repeated. Make the total number of vests and blouses sold the same. LCM of 2 and 1 is 2.
|
Vests |
Blouses |
Total |
Number |
1 u |
1 u |
2 u |
Value |
$120 |
$90 |
|
Total value |
120 u |
90 u |
210 u |
Cost of each blouse
=
34 x 120
= $90
Total amount collected from selling the vests and the blouses on the first day
= 120 u + 90 u
= 210 u
210 u = 4410
1 u = 4410 ÷ 210 = 21
Number of blouses sold on the first day
= 1 u
= 21
(b)
Total number of items left after the first day
= 8 u
= 8 x 21
= 168
Answer(s): (a) 21; (b) 168