Yen's shop sold dresses and shirts. The dresses were sold at $60 each and each shirt was sold at
14 of the price of each dress. Yen sold
16 of the items on the first day and collected $4290.
34 of the items sold on the first day were dresses.
- How many shirts 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 |
Dresses |
Shirts |
|
|
3x1 |
1x1 |
|
|
3 u |
1 u |
20 u |
24 u |
The total number of dresses and shirts sold is repeated. Make the total number of dresses and shirts sold the same. LCM of 4 and 1 is 4.
|
Dresses |
Shirts |
Total |
Number |
3 u |
1 u |
4 u |
Value |
$60 |
$15 |
|
Total value |
180 u |
15 u |
195 u |
Cost of each shirt
=
14 x 60
= $15
Total amount collected from selling the dresses and the shirts on the first day
= 180 u + 15 u
= 195 u
195 u = 4290
1 u = 4290 ÷ 195 = 22
Number of shirts sold on the first day
= 1 u
= 22
(b)
Total number of items left after the first day
= 20 u
= 20 x 22
= 440
Answer(s): (a) 22; (b) 440