Marion's shop sold jumpsuits and vests. The jumpsuits were sold at $40 each and each vest was sold at
12 of the price of each jumpsuit. Marion sold
12 of the items on the first day and collected $420.
34 of the items sold on the first day were jumpsuits.
- How many vests were sold on the first day?
- What was the total number of items left after the first day?
(a)
Sold |
Unsold |
Total |
1x4 |
1x4 |
2x4 |
Jumpsuits |
Vests |
|
|
3x1 |
1x1 |
|
|
3 u |
1 u |
4 u |
8 u |
The total number of jumpsuits and vests sold is repeated. Make the total number of jumpsuits and vests sold the same. LCM of 4 and 1 is 4.
|
Jumpsuits |
Vests |
Total |
Number |
3 u |
1 u |
4 u |
Value |
$40 |
$20 |
|
Total value |
120 u |
20 u |
140 u |
Cost of each vest
=
12 x 40
= $20
Total amount collected from selling the jumpsuits and the vests on the first day
= 120 u + 20 u
= 140 u
140 u = 420
1 u = 420 ÷ 140 = 3
Number of vests sold on the first day
= 1 u
= 3
(b)
Total number of items left after the first day
= 4 u
= 4 x 3
= 12
Answer(s): (a) 3; (b) 12