Sarah's shop sold blazers and shirts. The blazers were sold at $120 each and each shirt was sold at
15 of the price of each blazer. Sarah sold
15 of the items on the first day and collected $9984.
34 of the items sold on the first day were blazers.
- How many shirts 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 |
Blazers |
Shirts |
|
|
3x1 |
1x1 |
|
|
3 u |
1 u |
16 u |
20 u |
The total number of blazers and shirts sold is repeated. Make the total number of blazers and shirts sold the same. LCM of 4 and 1 is 4.
|
Blazers |
Shirts |
Total |
Number |
3 u |
1 u |
4 u |
Value |
$120 |
$24 |
|
Total value |
360 u |
24 u |
384 u |
Cost of each shirt
=
15 x 120
= $24
Total amount collected from selling the blazers and the shirts on the first day
= 360 u + 24 u
= 384 u
384 u = 9984
1 u = 9984 ÷ 384 = 26
Number of shirts sold on the first day
= 1 u
= 26
(b)
Total number of items left after the first day
= 16 u
= 16 x 26
= 416
Answer(s): (a) 26; (b) 416