In a shop, 75% of the number of vegetables sold were sweet potatoes and the rest were carrots. Each sweet potato cost 25¢ and each carrot cost 20¢ less than the cost of each sweet potato. Given that $256.80 was collected from the sale of the vegetables,
- How many sweet potatoes were sold?
- How much was collected from the sale of the carrots only?
(a)
|
Sweet Potatoes |
Carrots |
Number |
3 u |
1 u |
Value |
$0.25 |
$0.05 |
Total value |
0.75 u |
0.05 u |
75% =
75100 =
34Cost of each carrot
= 0.25 - 0.20
= $0.05
Total cost of the vegetables
= 0.75 u + 0.05 u
= 0.8 u
0.8 u = 256.80
1 u = 256.80 ÷ 0.8 = 321
Number of sweet potatoes sold
= 3 u
= 3 x 321
= $963
(b)
Amount collected from the sale of carrots
= 0.05 u
= 0.05 x 321
= $16.05
Answer(s): (a) 963; (b) $16.05