Yoko's shop sold jackets and jumpsuits. The jackets were sold at $80 each and each jumpsuit was sold at
12 of the price of each jacket. Yoko sold
16 of the items on the first day and collected $1560.
12 of the items sold on the first day were jackets.
- 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 |
5x2 |
6x2 |
Jackets |
Jumpsuits |
|
|
1x1 |
1x1 |
|
|
1 u |
1 u |
10 u |
12 u |
The total number of jackets and jumpsuits sold is repeated. Make the total number of jackets and jumpsuits sold the same. LCM of 2 and 1 is 2.
|
Jackets |
Jumpsuits |
Total |
Number |
1 u |
1 u |
2 u |
Value |
$80 |
$40 |
|
Total value |
80 u |
40 u |
120 u |
Cost of each jumpsuit
=
12 x 80
= $40
Total amount collected from selling the jackets and the jumpsuits on the first day
= 80 u + 40 u
= 120 u
120 u = 1560
1 u = 1560 ÷ 120 = 13
Number of jumpsuits sold on the first day
= 1 u
= 13
(b)
Total number of items left after the first day
= 10 u
= 10 x 13
= 130
Answer(s): (a) 13; (b) 130