In a kiosk, 55% 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 $218.40 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 |
11 u |
9 u |
Value |
$0.50 |
$0.4 |
Total value |
5.5 u |
3.6 u |
55% =
55100 =
1120Cost of each yam
= 0.50 - 0.10
= $0.4
Total cost of the vegetables
= 5.5 u + 3.6 u
= 9.1 u
9.1 u = 218.40
1 u = 218.40 ÷ 9.1 = 24
Number of sweet potatoes sold
= 11 u
= 11 x 24
= $264
(b)
Amount collected from the sale of yams
= 3.6 u
= 3.6 x 24
= $86.40
Answer(s): (a) 264; (b) $86.40