Emily's shop sold skirts and blouses. The skirts were sold at $60 each and each blouse was sold at
12 of the price of each skirt. Emily sold
13 of the items on the first day and collected $6930.
56 of the items sold on the first day were skirts.
- 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 |
1x6 |
2x6 |
3x6 |
Skirts |
Blouses |
|
|
5x1 |
1x1 |
|
|
5 u |
1 u |
12 u |
18 u |
The total number of skirts and blouses sold is repeated. Make the total number of skirts and blouses sold the same. LCM of 6 and 1 is 6.
|
Skirts |
Blouses |
Total |
Number |
5 u |
1 u |
6 u |
Value |
$60 |
$30 |
|
Total value |
300 u |
30 u |
330 u |
Cost of each blouse
=
12 x 60
= $30
Total amount collected from selling the skirts and the blouses on the first day
= 300 u + 30 u
= 330 u
330 u = 6930
1 u = 6930 ÷ 330 = 21
Number of blouses sold on the first day
= 1 u
= 21
(b)
Total number of items left after the first day
= 12 u
= 12 x 21
= 252
Answer(s): (a) 21; (b) 252