Zoe's shop sold blouses and sweaters. The blouses were sold at $40 each and each sweater was sold at
14 of the price of each blouse. Zoe sold
12 of the items on the first day and collected $1080.
23 of the items sold on the first day were blouses.
- How many sweaters were sold on the first day?
- What was the total number of items left after the first day?
(a)
Sold |
Unsold |
Total |
1x3 |
1x3 |
2x3 |
Blouses |
Sweaters |
|
|
2x1 |
1x1 |
|
|
2 u |
1 u |
3 u |
6 u |
The total number of blouses and sweaters sold is repeated. Make the total number of blouses and sweaters sold the same. LCM of 3 and 1 is 3.
|
Blouses |
Sweaters |
Total |
Number |
2 u |
1 u |
3 u |
Value |
$40 |
$10 |
|
Total value |
80 u |
10 u |
90 u |
Cost of each sweater
=
14 x 40
= $10
Total amount collected from selling the blouses and the sweaters on the first day
= 80 u + 10 u
= 90 u
90 u = 1080
1 u = 1080 ÷ 90 = 12
Number of sweaters sold on the first day
= 1 u
= 12
(b)
Total number of items left after the first day
= 3 u
= 3 x 12
= 36
Answer(s): (a) 12; (b) 36