In a shop, 70% of the number of vegetables sold were turnips and the rest were sweet potatoes. Each turnip cost 25¢ and each sweet potato cost 10¢ less than the cost of each turnip. Given that $270.60 was collected from the sale of the vegetables,
- How many turnips were sold?
- How much was collected from the sale of the sweet potatoes only?
(a)
|
Turnips |
Sweet Potatoes |
Number |
7 u |
3 u |
Value |
$0.25 |
$0.15 |
Total value |
1.75 u |
0.45 u |
70% =
70100 =
710Cost of each sweet potato
= 0.25 - 0.10
= $0.15
Total cost of the vegetables
= 1.75 u + 0.45 u
= 2.2 u
2.2 u = 270.60
1 u = 270.60 ÷ 2.2 = 123
Number of turnips sold
= 7 u
= 7 x 123
= $861
(b)
Amount collected from the sale of sweet potatoes
= 0.45 u
= 0.45 x 123
= $55.35
Answer(s): (a) 861; (b) $55.35