Tina's shop sold jackets and coats. The jackets were sold at $80 each and each coat was sold at
15 of the price of each jacket. Tina sold
13 of the items on the first day and collected $576.
12 of the items sold on the first day were jackets.
- How many coats were sold on the first day?
- What was the total number of items left after the first day?
(a)
Sold |
Unsold |
Total |
1x2 |
2x2 |
3x2 |
Jackets |
Coats |
|
|
1x1 |
1x1 |
|
|
1 u |
1 u |
4 u |
6 u |
The total number of jackets and coats sold is repeated. Make the total number of jackets and coats sold the same. LCM of 2 and 1 is 2.
|
Jackets |
Coats |
Total |
Number |
1 u |
1 u |
2 u |
Value |
$80 |
$16 |
|
Total value |
80 u |
16 u |
96 u |
Cost of each coat
=
15 x 80
= $16
Total amount collected from selling the jackets and the coats on the first day
= 80 u + 16 u
= 96 u
96 u = 576
1 u = 576 ÷ 96 = 6
Number of coats sold on the first day
= 1 u
= 6
(b)
Total number of items left after the first day
= 4 u
= 4 x 6
= 24
Answer(s): (a) 6; (b) 24