In a stall, 60% of the number of vegetables sold were sweet potatoes and the rest were potatoes. Each sweet potato cost 50¢ and each potato cost 10¢ less than the cost of each sweet potato. Given that $174.80 was collected from the sale of the vegetables,
- How many sweet potatoes were sold?
- How much was collected from the sale of the potatoes only?
(a)
|
Sweet Potatoes |
Potatoes |
Number |
3 u |
2 u |
Value |
$0.50 |
$0.4 |
Total value |
1.5 u |
0.8 u |
60% =
60100 =
35Cost of each potato
= 0.50 - 0.10
= $0.4
Total cost of the vegetables
= 1.5 u + 0.8 u
= 2.3 u
2.3 u = 174.80
1 u = 174.80 ÷ 2.3 = 76
Number of sweet potatoes sold
= 3 u
= 3 x 76
= $228
(b)
Amount collected from the sale of potatoes
= 0.8 u
= 0.8 x 76
= $60.80
Answer(s): (a) 228; (b) $60.80