In a stall, 75% of the number of vegetables sold were sweet potatoes and the rest were carrots. Each sweet potato cost 25¢ and each carrot cost 10¢ less than the cost of each sweet potato. Given that $274.50 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 |
$0.15 |
Total value |
0.75 u |
0.15 u |
75% =
75100 =
34Cost of each carrot
= 0.25 - 0.10
= $0.15
Total cost of the vegetables
= 0.75 u + 0.15 u
= 0.9 u
0.9 u = 274.50
1 u = 274.50 ÷ 0.9 = 305
Number of sweet potatoes sold
= 3 u
= 3 x 305
= $915
(b)
Amount collected from the sale of carrots
= 0.15 u
= 0.15 x 305
= $45.75
Answer(s): (a) 915; (b) $45.75