Tammy's shop sold sweaters and shirts. The sweaters were sold at $70 each and each shirt was sold at
35 of the price of each sweater. Tammy sold
15 of the items on the first day and collected $1512.
34 of the items sold on the first day were sweaters.
- 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 |
Sweaters |
Shirts |
|
|
3x1 |
1x1 |
|
|
3 u |
1 u |
16 u |
20 u |
The total number of sweaters and shirts sold is repeated. Make the total number of sweaters and shirts sold the same. LCM of 4 and 1 is 4.
|
Sweaters |
Shirts |
Total |
Number |
3 u |
1 u |
4 u |
Value |
$70 |
$42 |
|
Total value |
210 u |
42 u |
252 u |
Cost of each shirt
=
35 x 70
= $42
Total amount collected from selling the sweaters and the shirts on the first day
= 210 u + 42 u
= 252 u
252 u = 1512
1 u = 1512 ÷ 252 = 6
Number of shirts sold on the first day
= 1 u
= 6
(b)
Total number of items left after the first day
= 16 u
= 16 x 6
= 96
Answer(s): (a) 6; (b) 96