Gwen's shop sold blouses and dresses. The blouses were sold at $50 each and each dress was sold at
45 of the price of each blouse. Gwen sold
16 of the items on the first day and collected $570.
34 of the items sold on the first day were blouses.
- How many dresses were sold on the first day?
- What was the total number of items left after the first day?
(a)
Sold |
Unsold |
Total |
1x4 |
5x4 |
6x4 |
Blouses |
Dresses |
|
|
3x1 |
1x1 |
|
|
3 u |
1 u |
20 u |
24 u |
The total number of blouses and dresses sold is repeated. Make the total number of blouses and dresses sold the same. LCM of 4 and 1 is 4.
|
Blouses |
Dresses |
Total |
Number |
3 u |
1 u |
4 u |
Value |
$50 |
$40 |
|
Total value |
150 u |
40 u |
190 u |
Cost of each dress
=
45 x 50
= $40
Total amount collected from selling the blouses and the dresses on the first day
= 150 u + 40 u
= 190 u
190 u = 570
1 u = 570 ÷ 190 = 3
Number of dresses sold on the first day
= 1 u
= 3
(b)
Total number of items left after the first day
= 20 u
= 20 x 3
= 60
Answer(s): (a) 3; (b) 60