Zoe's shop sold dresses and jackets. The dresses were sold at $70 each and each jacket was sold at
12 of the price of each dress. Zoe sold
12 of the items on the first day and collected $980.
34 of the items sold on the first day were dresses.
- How many jackets were sold on the first day?
- What was the total number of items left after the first day?
(a)
Sold |
Unsold |
Total |
1x4 |
1x4 |
2x4 |
Dresses |
Jackets |
|
|
3x1 |
1x1 |
|
|
3 u |
1 u |
4 u |
8 u |
The total number of dresses and jackets sold is repeated. Make the total number of dresses and jackets sold the same. LCM of 4 and 1 is 4.
|
Dresses |
Jackets |
Total |
Number |
3 u |
1 u |
4 u |
Value |
$70 |
$35 |
|
Total value |
210 u |
35 u |
245 u |
Cost of each jacket
=
12 x 70
= $35
Total amount collected from selling the dresses and the jackets on the first day
= 210 u + 35 u
= 245 u
245 u = 980
1 u = 980 ÷ 245 = 4
Number of jackets sold on the first day
= 1 u
= 4
(b)
Total number of items left after the first day
= 4 u
= 4 x 4
= 16
Answer(s): (a) 4; (b) 16