In a shop, 75% of the number of vegetables sold were carrots and the rest were turnips. Each carrot cost 25¢ and each turnip cost 10¢ less than the cost of each carrot. Given that $184.50 was collected from the sale of the vegetables,
- How many carrots were sold?
- How much was collected from the sale of the turnips only?
(a)
|
Carrots |
Turnips |
Number |
3 u |
1 u |
Value |
$0.25 |
$0.15 |
Total value |
0.75 u |
0.15 u |
75% =
75100 =
34Cost of each turnip
= 0.25 - 0.10
= $0.15
Total cost of the vegetables
= 0.75 u + 0.15 u
= 0.9 u
0.9 u = 184.50
1 u = 184.50 ÷ 0.9 = 205
Number of carrots sold
= 3 u
= 3 x 205
= $615
(b)
Amount collected from the sale of turnips
= 0.15 u
= 0.15 x 205
= $30.75
Answer(s): (a) 615; (b) $30.75