Opal's shop sold shirts and coats. The shirts were sold at $60 each and each coat was sold at
34 of the price of each shirt. Opal sold
16 of the items on the first day and collected $3795.
23 of the items sold on the first day were shirts.
- 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 |
1x3 |
5x3 |
6x3 |
Shirts |
Coats |
|
|
2x1 |
1x1 |
|
|
2 u |
1 u |
15 u |
18 u |
The total number of shirts and coats sold is repeated. Make the total number of shirts and coats sold the same. LCM of 3 and 1 is 3.
|
Shirts |
Coats |
Total |
Number |
2 u |
1 u |
3 u |
Value |
$60 |
$45 |
|
Total value |
120 u |
45 u |
165 u |
Cost of each coat
=
34 x 60
= $45
Total amount collected from selling the shirts and the coats on the first day
= 120 u + 45 u
= 165 u
165 u = 3795
1 u = 3795 ÷ 165 = 23
Number of coats sold on the first day
= 1 u
= 23
(b)
Total number of items left after the first day
= 15 u
= 15 x 23
= 345
Answer(s): (a) 23; (b) 345