A fruit vendor ordered some fruits. 45% of the fruits he ordered were grapefruits and the rest were kiwis. Each grapefruit cost $1.40 and each kiwi cost 50% more than each grapefruit. The vendor paid a total of $714.
- Find the total cost of the grapefruits.
- How many kiwis did he order?
(a)
|
Grapefruits |
Kiwis |
Numbers |
9 u |
11 u |
Price |
$1.40 |
$2.10 |
Total value |
12.6 u |
23.1 u |
45% =
45100 =
920Number of grapefruits = 9 u
Number of kiwis = 20 u - 9 u = 11 u
Price of each grapefruit in percent = 100%
Price of each kiwi in percent = 100% + 50% = 150%
Price of each kiwi
= 1.40 x 150%
= 1.40 x
150100 = $2.10
12.6 u + 23.1 u = 714
35.7 u = 714
1 u = 714 ÷ 35.7 = 20
Cost of the grapefruits
= 9 u x 1.40
= 9 x 20 x 1.40
= $252
(b)
Number of kiwis ordered
= 11 u
= 11 x 20
= 220
Answer(s): (a) $252; (b) 220