Tiffany's shop sold windbreakers and sweaters. The windbreakers were sold at $100 each and each sweater was sold at
14 of the price of each windbreaker. Tiffany sold
14 of the items on the first day and collected $1250.
12 of the items sold on the first day were windbreakers.
- How many sweaters 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 |
Windbreakers |
Sweaters |
|
|
1x1 |
1x1 |
|
|
1 u |
1 u |
6 u |
8 u |
The total number of windbreakers and sweaters sold is repeated. Make the total number of windbreakers and sweaters sold the same. LCM of 2 and 1 is 2.
|
Windbreakers |
Sweaters |
Total |
Number |
1 u |
1 u |
2 u |
Value |
$100 |
$25 |
|
Total value |
100 u |
25 u |
125 u |
Cost of each sweater
=
14 x 100
= $25
Total amount collected from selling the windbreakers and the sweaters on the first day
= 100 u + 25 u
= 125 u
125 u = 1250
1 u = 1250 ÷ 125 = 10
Number of sweaters sold on the first day
= 1 u
= 10
(b)
Total number of items left after the first day
= 6 u
= 6 x 10
= 60
Answer(s): (a) 10; (b) 60