Anna's shop sold windbreakers and jackets. The windbreakers were sold at $90 each and each jacket was sold at
23 of the price of each windbreaker. Anna sold
15 of the items on the first day and collected $1320.
34 of the items sold on the first day were windbreakers.
- How many jackets were sold on the first day?
- What was the total number of items left after the first day?
(a)
Sold |
Unsold |
Total |
1x4 |
4x4 |
5x4 |
Windbreakers |
Jackets |
|
|
3x1 |
1x1 |
|
|
3 u |
1 u |
16 u |
20 u |
The total number of windbreakers and jackets sold is repeated. Make the total number of windbreakers and jackets sold the same. LCM of 4 and 1 is 4.
|
Windbreakers |
Jackets |
Total |
Number |
3 u |
1 u |
4 u |
Value |
$90 |
$60 |
|
Total value |
270 u |
60 u |
330 u |
Cost of each jacket
=
23 x 90
= $60
Total amount collected from selling the windbreakers and the jackets on the first day
= 270 u + 60 u
= 330 u
330 u = 1320
1 u = 1320 ÷ 330 = 4
Number of jackets sold on the first day
= 1 u
= 4
(b)
Total number of items left after the first day
= 16 u
= 16 x 4
= 64
Answer(s): (a) 4; (b) 64