Xandra's shop sold shirts and windbreakers. The shirts were sold at $70 each and each windbreaker was sold at
15 of the price of each shirt. Xandra sold
15 of the items on the first day and collected $2156.
23 of the items sold on the first day were shirts.
- How many windbreakers were sold on the first day?
- What was the total number of items left after the first day?
(a)
Sold |
Unsold |
Total |
1x3 |
4x3 |
5x3 |
Shirts |
Windbreakers |
|
|
2x1 |
1x1 |
|
|
2 u |
1 u |
12 u |
15 u |
The total number of shirts and windbreakers sold is repeated. Make the total number of shirts and windbreakers sold the same. LCM of 3 and 1 is 3.
|
Shirts |
Windbreakers |
Total |
Number |
2 u |
1 u |
3 u |
Value |
$70 |
$14 |
|
Total value |
140 u |
14 u |
154 u |
Cost of each windbreaker
=
15 x 70
= $14
Total amount collected from selling the shirts and the windbreakers on the first day
= 140 u + 14 u
= 154 u
154 u = 2156
1 u = 2156 ÷ 154 = 14
Number of windbreakers sold on the first day
= 1 u
= 14
(b)
Total number of items left after the first day
= 12 u
= 12 x 14
= 168
Answer(s): (a) 14; (b) 168