A fruit vendor ordered some fruits. 40% of the fruits he ordered were grapefruits and the rest were guavas. Each grapefruit cost $1.80 and each guava cost 50% more than each grapefruit. The vendor paid a total of $117.
- Find the total cost of the grapefruits.
- How many guavas did he order?
(a)
|
Grapefruits |
Guavas |
Numbers |
2 u |
3 u |
Price |
$1.80 |
$2.70 |
Total value |
3.6 u |
8.1 u |
40% =
40100 =
25Number of grapefruits = 2 u
Number of guavas = 5 u - 2 u = 3 u
Price of each grapefruit in percent = 100%
Price of each guava in percent = 100% + 50% = 150%
Price of each guava
= 1.80 x 150%
= 1.80 x
150100 = $2.70
3.6 u + 8.1 u = 117
11.7 u = 117
1 u = 117 ÷ 11.7 = 10
Cost of the grapefruits
= 2 u x 1.80
= 2 x 10 x 1.80
= $36
(b)
Number of guavas ordered
= 3 u
= 3 x 10
= 30
Answer(s): (a) $36; (b) 30