Jean's shop sold jumpsuits and jackets. The jumpsuits were sold at $110 each and each jacket was sold at
35 of the price of each jumpsuit. Jean sold
16 of the items on the first day and collected $6732.
34 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 |
1x4 |
5x4 |
6x4 |
Jumpsuits |
Jackets |
|
|
3x1 |
1x1 |
|
|
3 u |
1 u |
20 u |
24 u |
The total number of jumpsuits and jackets sold is repeated. Make the total number of jumpsuits and jackets sold the same. LCM of 4 and 1 is 4.
|
Jumpsuits |
Jackets |
Total |
Number |
3 u |
1 u |
4 u |
Value |
$110 |
$66 |
|
Total value |
330 u |
66 u |
396 u |
Cost of each jacket
=
35 x 110
= $66
Total amount collected from selling the jumpsuits and the jackets on the first day
= 330 u + 66 u
= 396 u
396 u = 6732
1 u = 6732 ÷ 396 = 17
Number of jackets sold on the first day
= 1 u
= 17
(b)
Total number of items left after the first day
= 20 u
= 20 x 17
= 340
Answer(s): (a) 17; (b) 340