A fruit vendor ordered some fruits. 30% of the fruits he ordered were mangoes and the rest were pomegranates. Each mango cost $2.60 and each pomegranate cost 50% more than each mango. The vendor paid a total of $1053.
- Find the total cost of the mangoes.
- How many pomegranates did he order?
(a)
| |
Mangoes |
Pomegranates |
| Numbers |
3 u |
7 u |
| Price |
$2.60 |
$3.90 |
| Total value |
7.8 u |
27.3 u |
30% =
30100 =
310Number of mangoes = 3 u
Number of pomegranates = 10 u - 3 u = 7 u
Price of each mango in percent = 100%
Price of each pomegranate in percent = 100% + 50% = 150%
Price of each pomegranate
= 2.60 x 150%
= 2.60 x
150100 = $3.90
7.8 u + 27.3 u = 1053
35.1 u = 1053
1 u = 1053 ÷ 35.1 = 30
Cost of the mangoes
= 3 u x 2.60
= 3 x 30 x 2.60
= $234
(b)
Number of pomegranates ordered
= 7 u
= 7 x 30
= 210
Answer(s): (a) $234; (b) 210
