A fruit vendor ordered some fruits. 35% of the fruits he ordered were grapefruits and the rest were pomegranates. Each grapefruit cost $2.80 and each pomegranate cost 50% more than each grapefruit. The vendor paid a total of $371.
- Find the total cost of the grapefruits.
- How many pomegranates did he order?
(a)
|
Grapefruits |
Pomegranates |
Numbers |
7 u |
13 u |
Price |
$2.80 |
$4.20 |
Total value |
19.6 u |
54.6 u |
35% =
35100 =
720Number of grapefruits = 7 u
Number of pomegranates = 20 u - 7 u = 13 u
Price of each grapefruit in percent = 100%
Price of each pomegranate in percent = 100% + 50% = 150%
Price of each pomegranate
= 2.80 x 150%
= 2.80 x
150100 = $4.20
19.6 u + 54.6 u = 371
74.2 u = 371
1 u = 371 ÷ 74.2 = 5
Cost of the grapefruits
= 7 u x 2.80
= 7 x 5 x 2.80
= $98
(b)
Number of pomegranates ordered
= 13 u
= 13 x 5
= 65
Answer(s): (a) $98; (b) 65