A fruit vendor ordered some fruits. 40% of the fruits he ordered were starfruits and the rest were pomegranates. Each starfruit cost $1.50 and each pomegranate cost 20% more than each starfruit. The vendor paid a total of $210.
- Find the total cost of the starfruits.
- How many pomegranates did he order?
(a)
|
Starfruits |
Pomegranates |
Numbers |
2 u |
3 u |
Price |
$1.50 |
$1.80 |
Total value |
3 u |
5.4 u |
40% =
40100 =
25Number of starfruits = 2 u
Number of pomegranates = 5 u - 2 u = 3 u
Price of each starfruit in percent = 100%
Price of each pomegranate in percent = 100% + 20% = 120%
Price of each pomegranate
= 1.50 x 120%
= 1.50 x
120100 = $1.80
3 u + 5.4 u = 210
8.4 u = 210
1 u = 210 ÷ 8.4 = 25
Cost of the starfruits
= 2 u x 1.50
= 2 x 25 x 1.50
= $75
(b)
Number of pomegranates ordered
= 3 u
= 3 x 25
= 75
Answer(s): (a) $75; (b) 75