Anna's shop sold sweaters and jumpsuits. The sweaters were sold at $50 each and each jumpsuit was sold at
15 of the price of each sweater. Anna sold
14 of the items on the first day and collected $1800.
12 of the items sold on the first day were sweaters.
- How many jumpsuits were sold on the first day?
- What was the total number of items left after the first day?
(a)
Sold |
Unsold |
Total |
1x2 |
3x2 |
4x2 |
Sweaters |
Jumpsuits |
|
|
1x1 |
1x1 |
|
|
1 u |
1 u |
6 u |
8 u |
The total number of sweaters and jumpsuits sold is repeated. Make the total number of sweaters and jumpsuits sold the same. LCM of 2 and 1 is 2.
|
Sweaters |
Jumpsuits |
Total |
Number |
1 u |
1 u |
2 u |
Value |
$50 |
$10 |
|
Total value |
50 u |
10 u |
60 u |
Cost of each jumpsuit
=
15 x 50
= $10
Total amount collected from selling the sweaters and the jumpsuits on the first day
= 50 u + 10 u
= 60 u
60 u = 1800
1 u = 1800 ÷ 60 = 30
Number of jumpsuits sold on the first day
= 1 u
= 30
(b)
Total number of items left after the first day
= 6 u
= 6 x 30
= 180
Answer(s): (a) 30; (b) 180