Tina's shop sold jackets and shirts. The jackets were sold at $120 each and each shirt was sold at
45 of the price of each jacket. Tina sold
15 of the items on the first day and collected $2784.
56 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 |
1x6 |
4x6 |
5x6 |
Jackets |
Shirts |
|
|
5x1 |
1x1 |
|
|
5 u |
1 u |
24 u |
30 u |
The total number of jackets and shirts sold is repeated. Make the total number of jackets and shirts sold the same. LCM of 6 and 1 is 6.
|
Jackets |
Shirts |
Total |
Number |
5 u |
1 u |
6 u |
Value |
$120 |
$96 |
|
Total value |
600 u |
96 u |
696 u |
Cost of each shirt
=
45 x 120
= $96
Total amount collected from selling the jackets and the shirts on the first day
= 600 u + 96 u
= 696 u
696 u = 2784
1 u = 2784 ÷ 696 = 4
Number of shirts sold on the first day
= 1 u
= 4
(b)
Total number of items left after the first day
= 24 u
= 24 x 4
= 96
Answer(s): (a) 4; (b) 96