Olivia's shop sold skirts and dresses. The skirts were sold at $110 each and each dress was sold at
15 of the price of each skirt. Olivia sold
16 of the items on the first day and collected $3036.
12 of the items sold on the first day were skirts.
- 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 |
1x2 |
5x2 |
6x2 |
Skirts |
Dresses |
|
|
1x1 |
1x1 |
|
|
1 u |
1 u |
10 u |
12 u |
The total number of skirts and dresses sold is repeated. Make the total number of skirts and dresses sold the same. LCM of 2 and 1 is 2.
|
Skirts |
Dresses |
Total |
Number |
1 u |
1 u |
2 u |
Value |
$110 |
$22 |
|
Total value |
110 u |
22 u |
132 u |
Cost of each dress
=
15 x 110
= $22
Total amount collected from selling the skirts and the dresses on the first day
= 110 u + 22 u
= 132 u
132 u = 3036
1 u = 3036 ÷ 132 = 23
Number of dresses sold on the first day
= 1 u
= 23
(b)
Total number of items left after the first day
= 10 u
= 10 x 23
= 230
Answer(s): (a) 23; (b) 230