In a stall, 70% of the number of vegetables sold were sweet potatoes and the rest were yams. Each sweet potato cost 50¢ and each yam cost 10¢ less than the cost of each sweet potato. Given that $277.30 was collected from the sale of the vegetables,
- How many sweet potatoes were sold?
- How much was collected from the sale of the yams only?
(a)
|
Sweet Potatoes |
Yams |
Number |
7 u |
3 u |
Value |
$0.50 |
$0.4 |
Total value |
3.5 u |
1.2 u |
70% =
70100 =
710Cost of each yam
= 0.50 - 0.10
= $0.4
Total cost of the vegetables
= 3.5 u + 1.2 u
= 4.7 u
4.7 u = 277.30
1 u = 277.30 ÷ 4.7 = 59
Number of sweet potatoes sold
= 7 u
= 7 x 59
= $413
(b)
Amount collected from the sale of yams
= 1.2 u
= 1.2 x 59
= $70.80
Answer(s): (a) 413; (b) $70.80