Xylia's shop sold sweaters and skirts. The sweaters were sold at $90 each and each skirt was sold at
45 of the price of each sweater. Xylia sold
16 of the items on the first day and collected $10368.
45 of the items sold on the first day were sweaters.
- How many skirts were sold on the first day?
- What was the total number of items left after the first day?
(a)
Sold |
Unsold |
Total |
1x5 |
5x5 |
6x5 |
Sweaters |
Skirts |
|
|
4x1 |
1x1 |
|
|
4 u |
1 u |
25 u |
30 u |
The total number of sweaters and skirts sold is repeated. Make the total number of sweaters and skirts sold the same. LCM of 5 and 1 is 5.
|
Sweaters |
Skirts |
Total |
Number |
4 u |
1 u |
5 u |
Value |
$90 |
$72 |
|
Total value |
360 u |
72 u |
432 u |
Cost of each skirt
=
45 x 90
= $72
Total amount collected from selling the sweaters and the skirts on the first day
= 360 u + 72 u
= 432 u
432 u = 10368
1 u = 10368 ÷ 432 = 24
Number of skirts sold on the first day
= 1 u
= 24
(b)
Total number of items left after the first day
= 25 u
= 25 x 24
= 600
Answer(s): (a) 24; (b) 600