Xandra's shop sold windbreakers and vests. The windbreakers were sold at $110 each and each vest was sold at
25 of the price of each windbreaker. Xandra sold
13 of the items on the first day and collected $6600.
23 of the items sold on the first day were windbreakers.
- 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 |
1x3 |
2x3 |
3x3 |
Windbreakers |
Vests |
|
|
2x1 |
1x1 |
|
|
2 u |
1 u |
6 u |
9 u |
The total number of windbreakers and vests sold is repeated. Make the total number of windbreakers and vests sold the same. LCM of 3 and 1 is 3.
|
Windbreakers |
Vests |
Total |
Number |
2 u |
1 u |
3 u |
Value |
$110 |
$44 |
|
Total value |
220 u |
44 u |
264 u |
Cost of each vest
=
25 x 110
= $44
Total amount collected from selling the windbreakers and the vests on the first day
= 220 u + 44 u
= 264 u
264 u = 6600
1 u = 6600 ÷ 264 = 25
Number of vests sold on the first day
= 1 u
= 25
(b)
Total number of items left after the first day
= 6 u
= 6 x 25
= 150
Answer(s): (a) 25; (b) 150