Emily's shop sold windbreakers and jackets. The windbreakers were sold at $100 each and each jacket was sold at
14 of the price of each windbreaker. Emily sold
13 of the items on the first day and collected $2125.
12 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 |
1x2 |
2x2 |
3x2 |
Windbreakers |
Jackets |
|
|
1x1 |
1x1 |
|
|
1 u |
1 u |
4 u |
6 u |
The total number of windbreakers and jackets sold is repeated. Make the total number of windbreakers and jackets sold the same. LCM of 2 and 1 is 2.
|
Windbreakers |
Jackets |
Total |
Number |
1 u |
1 u |
2 u |
Value |
$100 |
$25 |
|
Total value |
100 u |
25 u |
125 u |
Cost of each jacket
=
14 x 100
= $25
Total amount collected from selling the windbreakers and the jackets on the first day
= 100 u + 25 u
= 125 u
125 u = 2125
1 u = 2125 ÷ 125 = 17
Number of jackets sold on the first day
= 1 u
= 17
(b)
Total number of items left after the first day
= 4 u
= 4 x 17
= 68
Answer(s): (a) 17; (b) 68