Kylie's shop sold blazers and vests. The blazers were sold at $70 each and each vest was sold at
45 of the price of each blazer. Kylie sold
14 of the items on the first day and collected $2030.
56 of the items sold on the first day were blazers.
- How many vests were sold on the first day?
- What was the total number of items left after the first day?
(a)
Sold |
Unsold |
Total |
1x6 |
3x6 |
4x6 |
Blazers |
Vests |
|
|
5x1 |
1x1 |
|
|
5 u |
1 u |
18 u |
24 u |
The total number of blazers and vests sold is repeated. Make the total number of blazers and vests sold the same. LCM of 6 and 1 is 6.
|
Blazers |
Vests |
Total |
Number |
5 u |
1 u |
6 u |
Value |
$70 |
$56 |
|
Total value |
350 u |
56 u |
406 u |
Cost of each vest
=
45 x 70
= $56
Total amount collected from selling the blazers and the vests on the first day
= 350 u + 56 u
= 406 u
406 u = 2030
1 u = 2030 ÷ 406 = 5
Number of vests sold on the first day
= 1 u
= 5
(b)
Total number of items left after the first day
= 18 u
= 18 x 5
= 90
Answer(s): (a) 5; (b) 90