Shiyun's shop sold jumpsuits and jackets. The jumpsuits were sold at $60 each and each jacket was sold at
45 of the price of each jumpsuit. Shiyun sold
16 of the items on the first day and collected $672.
23 of the items sold on the first day were jumpsuits.
- 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 |
1x3 |
5x3 |
6x3 |
Jumpsuits |
Jackets |
|
|
2x1 |
1x1 |
|
|
2 u |
1 u |
15 u |
18 u |
The total number of jumpsuits and jackets sold is repeated. Make the total number of jumpsuits and jackets sold the same. LCM of 3 and 1 is 3.
|
Jumpsuits |
Jackets |
Total |
Number |
2 u |
1 u |
3 u |
Value |
$60 |
$48 |
|
Total value |
120 u |
48 u |
168 u |
Cost of each jacket
=
45 x 60
= $48
Total amount collected from selling the jumpsuits and the jackets on the first day
= 120 u + 48 u
= 168 u
168 u = 672
1 u = 672 ÷ 168 = 4
Number of jackets sold on the first day
= 1 u
= 4
(b)
Total number of items left after the first day
= 15 u
= 15 x 4
= 60
Answer(s): (a) 4; (b) 60