Lucy's shop sold coats and jumpsuits. The coats were sold at $70 each and each jumpsuit was sold at
35 of the price of each coat. Lucy sold
14 of the items on the first day and collected $4284.
34 of the items sold on the first day were coats.
- How many jumpsuits were sold on the first day?
- What was the total number of items left after the first day?
(a)
Sold |
Unsold |
Total |
1x4 |
3x4 |
4x4 |
Coats |
Jumpsuits |
|
|
3x1 |
1x1 |
|
|
3 u |
1 u |
12 u |
16 u |
The total number of coats and jumpsuits sold is repeated. Make the total number of coats and jumpsuits sold the same. LCM of 4 and 1 is 4.
|
Coats |
Jumpsuits |
Total |
Number |
3 u |
1 u |
4 u |
Value |
$70 |
$42 |
|
Total value |
210 u |
42 u |
252 u |
Cost of each jumpsuit
=
35 x 70
= $42
Total amount collected from selling the coats and the jumpsuits on the first day
= 210 u + 42 u
= 252 u
252 u = 4284
1 u = 4284 ÷ 252 = 17
Number of jumpsuits sold on the first day
= 1 u
= 17
(b)
Total number of items left after the first day
= 12 u
= 12 x 17
= 204
Answer(s): (a) 17; (b) 204