In a stall, 75% of the number of vegetables sold were carrots and the rest were sweet potatoes. Each carrot cost 50¢ and each sweet potato cost 20¢ less than the cost of each carrot. Given that $214.20 was collected from the sale of the vegetables,
- How many carrots were sold?
- How much was collected from the sale of the sweet potatoes only?
(a)
|
Carrots |
Sweet Potatoes |
Number |
3 u |
1 u |
Value |
$0.50 |
$0.3 |
Total value |
1.5 u |
0.3 u |
75% =
75100 =
34Cost of each sweet potato
= 0.50 - 0.20
= $0.3
Total cost of the vegetables
= 1.5 u + 0.3 u
= 1.8 u
1.8 u = 214.20
1 u = 214.20 ÷ 1.8 = 119
Number of carrots sold
= 3 u
= 3 x 119
= $357
(b)
Amount collected from the sale of sweet potatoes
= 0.3 u
= 0.3 x 119
= $35.70
Answer(s): (a) 357; (b) $35.70