A fruit vendor ordered some fruits. 45% of the fruits he ordered were chikoos and the rest were grapefruits. Each chikoo cost $1.60 and each grapefruit cost 50% more than each chikoo. The vendor paid a total of $408.
- Find the total cost of the chikoos.
- How many grapefruits did he order?
(a)
|
Chikoos |
Grapefruits |
Numbers |
9 u |
11 u |
Price |
$1.60 |
$2.40 |
Total value |
14.4 u |
26.4 u |
45% =
45100 =
920Number of chikoos = 9 u
Number of grapefruits = 20 u - 9 u = 11 u
Price of each chikoo in percent = 100%
Price of each grapefruit in percent = 100% + 50% = 150%
Price of each grapefruit
= 1.60 x 150%
= 1.60 x
150100 = $2.40
14.4 u + 26.4 u = 408
40.8 u = 408
1 u = 408 ÷ 40.8 = 10
Cost of the chikoos
= 9 u x 1.60
= 9 x 10 x 1.60
= $144
(b)
Number of grapefruits ordered
= 11 u
= 11 x 10
= 110
Answer(s): (a) $144; (b) 110