In a supermarket, 75% of the number of vegetables sold were yams and the rest were potatoes. Each yam cost 25¢ and each potato cost 10¢ less than the cost of each yam. Given that $258.30 was collected from the sale of the vegetables,
- How many yams were sold?
- How much was collected from the sale of the potatoes only?
(a)
|
Yams |
Potatoes |
Number |
3 u |
1 u |
Value |
$0.25 |
$0.15 |
Total value |
0.75 u |
0.15 u |
75% =
75100 =
34Cost of each potato
= 0.25 - 0.10
= $0.15
Total cost of the vegetables
= 0.75 u + 0.15 u
= 0.9 u
0.9 u = 258.30
1 u = 258.30 ÷ 0.9 = 287
Number of yams sold
= 3 u
= 3 x 287
= $861
(b)
Amount collected from the sale of potatoes
= 0.15 u
= 0.15 x 287
= $43.05
Answer(s): (a) 861; (b) $43.05