Emily's shop sold coats and blazers. The coats were sold at $80 each and each blazer was sold at
35 of the price of each coat. Emily sold
15 of the items on the first day and collected $864.
34 of the items sold on the first day were coats.
- How many blazers were sold on the first day?
- What was the total number of items left after the first day?
(a)
Sold |
Unsold |
Total |
1x4 |
4x4 |
5x4 |
Coats |
Blazers |
|
|
3x1 |
1x1 |
|
|
3 u |
1 u |
16 u |
20 u |
The total number of coats and blazers sold is repeated. Make the total number of coats and blazers sold the same. LCM of 4 and 1 is 4.
|
Coats |
Blazers |
Total |
Number |
3 u |
1 u |
4 u |
Value |
$80 |
$48 |
|
Total value |
240 u |
48 u |
288 u |
Cost of each blazer
=
35 x 80
= $48
Total amount collected from selling the coats and the blazers on the first day
= 240 u + 48 u
= 288 u
288 u = 864
1 u = 864 ÷ 288 = 3
Number of blazers sold on the first day
= 1 u
= 3
(b)
Total number of items left after the first day
= 16 u
= 16 x 3
= 48
Answer(s): (a) 3; (b) 48