In a supermarket, 75% of the number of vegetables sold were yams and the rest were sweet potatoes. Each yam cost 50¢ and each sweet potato cost 10¢ less than the cost of each yam. Given that $180.50 was collected from the sale of the vegetables,
- How many yams were sold?
- How much was collected from the sale of the sweet potatoes only?
(a)
|
Yams |
Sweet Potatoes |
Number |
3 u |
1 u |
Value |
$0.50 |
$0.4 |
Total value |
1.5 u |
0.4 u |
75% =
75100 =
34Cost of each sweet potato
= 0.50 - 0.10
= $0.4
Total cost of the vegetables
= 1.5 u + 0.4 u
= 1.9 u
1.9 u = 180.50
1 u = 180.50 ÷ 1.9 = 95
Number of yams sold
= 3 u
= 3 x 95
= $285
(b)
Amount collected from the sale of sweet potatoes
= 0.4 u
= 0.4 x 95
= $38.00
Answer(s): (a) 285; (b) $38.00