Cathy's shop sold jackets and shirts. The jackets were sold at $40 each and each shirt was sold at
12 of the price of each jacket. Cathy sold
15 of the items on the first day and collected $540.
12 of the items sold on the first day were jackets.
- 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 |
1x2 |
4x2 |
5x2 |
Jackets |
Shirts |
|
|
1x1 |
1x1 |
|
|
1 u |
1 u |
8 u |
10 u |
The total number of jackets and shirts sold is repeated. Make the total number of jackets and shirts sold the same. LCM of 2 and 1 is 2.
|
Jackets |
Shirts |
Total |
Number |
1 u |
1 u |
2 u |
Value |
$40 |
$20 |
|
Total value |
40 u |
20 u |
60 u |
Cost of each shirt
=
12 x 40
= $20
Total amount collected from selling the jackets and the shirts on the first day
= 40 u + 20 u
= 60 u
60 u = 540
1 u = 540 ÷ 60 = 9
Number of shirts sold on the first day
= 1 u
= 9
(b)
Total number of items left after the first day
= 8 u
= 8 x 9
= 72
Answer(s): (a) 9; (b) 72