A fruit vendor ordered some fruits. 40% of the fruits he ordered were pomegranates and the rest were starfruits. Each pomegranate cost $2.50 and each starfruit cost 40% more than each pomegranate. The vendor paid a total of $372.
- Find the total cost of the pomegranates.
- How many starfruits did he order?
(a)
|
Pomegranates |
Starfruits |
Numbers |
2 u |
3 u |
Price |
$2.50 |
$3.50 |
Total value |
5 u |
10.5 u |
40% =
40100 =
25Number of pomegranates = 2 u
Number of starfruits = 5 u - 2 u = 3 u
Price of each pomegranate in percent = 100%
Price of each starfruit in percent = 100% + 40% = 140%
Price of each starfruit
= 2.50 x 140%
= 2.50 x
140100 = $3.50
5 u + 10.5 u = 372
15.5 u = 372
1 u = 372 ÷ 15.5 = 24
Cost of the pomegranates
= 2 u x 2.50
= 2 x 24 x 2.50
= $120
(b)
Number of starfruits ordered
= 3 u
= 3 x 24
= 72
Answer(s): (a) $120; (b) 72