A fruit vendor ordered some fruits. 45% of the fruits he ordered were grapefruits and the rest were starfruits. Each grapefruit cost $2.40 and each starfruit cost 50% more than each grapefruit. The vendor paid a total of $1836.
- Find the total cost of the grapefruits.
- How many starfruits did he order?
(a)
|
Grapefruits |
Starfruits |
Numbers |
9 u |
11 u |
Price |
$2.40 |
$3.60 |
Total value |
21.6 u |
39.6 u |
45% =
45100 =
920Number of grapefruits = 9 u
Number of starfruits = 20 u - 9 u = 11 u
Price of each grapefruit in percent = 100%
Price of each starfruit in percent = 100% + 50% = 150%
Price of each starfruit
= 2.40 x 150%
= 2.40 x
150100 = $3.60
21.6 u + 39.6 u = 1836
61.2 u = 1836
1 u = 1836 ÷ 61.2 = 30
Cost of the grapefruits
= 9 u x 2.40
= 9 x 30 x 2.40
= $648
(b)
Number of starfruits ordered
= 11 u
= 11 x 30
= 330
Answer(s): (a) $648; (b) 330