Jade's shop sold coats and dresses. The coats were sold at $60 each and each dress was sold at
12 of the price of each coat. Jade sold
16 of the items on the first day and collected $3780.
45 of the items sold on the first day were coats.
- 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 |
1x5 |
5x5 |
6x5 |
Coats |
Dresses |
|
|
4x1 |
1x1 |
|
|
4 u |
1 u |
25 u |
30 u |
The total number of coats and dresses sold is repeated. Make the total number of coats and dresses sold the same. LCM of 5 and 1 is 5.
|
Coats |
Dresses |
Total |
Number |
4 u |
1 u |
5 u |
Value |
$60 |
$30 |
|
Total value |
240 u |
30 u |
270 u |
Cost of each dress
=
12 x 60
= $30
Total amount collected from selling the coats and the dresses on the first day
= 240 u + 30 u
= 270 u
270 u = 3780
1 u = 3780 ÷ 270 = 14
Number of dresses sold on the first day
= 1 u
= 14
(b)
Total number of items left after the first day
= 25 u
= 25 x 14
= 350
Answer(s): (a) 14; (b) 350