Hazel's shop sold blazers and skirts. The blazers were sold at $80 each and each skirt was sold at
15 of the price of each blazer. Hazel sold
14 of the items on the first day and collected $5712.
45 of the items sold on the first day were blazers.
- How many skirts were sold on the first day?
- What was the total number of items left after the first day?
(a)
Sold |
Unsold |
Total |
1x5 |
3x5 |
4x5 |
Blazers |
Skirts |
|
|
4x1 |
1x1 |
|
|
4 u |
1 u |
15 u |
20 u |
The total number of blazers and skirts sold is repeated. Make the total number of blazers and skirts sold the same. LCM of 5 and 1 is 5.
|
Blazers |
Skirts |
Total |
Number |
4 u |
1 u |
5 u |
Value |
$80 |
$16 |
|
Total value |
320 u |
16 u |
336 u |
Cost of each skirt
=
15 x 80
= $16
Total amount collected from selling the blazers and the skirts on the first day
= 320 u + 16 u
= 336 u
336 u = 5712
1 u = 5712 ÷ 336 = 17
Number of skirts sold on the first day
= 1 u
= 17
(b)
Total number of items left after the first day
= 15 u
= 15 x 17
= 255
Answer(s): (a) 17; (b) 255