Irene's shop sold jumpsuits and jackets. The jumpsuits were sold at $110 each and each jacket was sold at
12 of the price of each jumpsuit. Irene sold
13 of the items on the first day and collected $4950.
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 |
2x3 |
3x3 |
Jumpsuits |
Jackets |
|
|
2x1 |
1x1 |
|
|
2 u |
1 u |
6 u |
9 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 |
$110 |
$55 |
|
Total value |
220 u |
55 u |
275 u |
Cost of each jacket
=
12 x 110
= $55
Total amount collected from selling the jumpsuits and the jackets on the first day
= 220 u + 55 u
= 275 u
275 u = 4950
1 u = 4950 ÷ 275 = 18
Number of jackets sold on the first day
= 1 u
= 18
(b)
Total number of items left after the first day
= 6 u
= 6 x 18
= 108
Answer(s): (a) 18; (b) 108