A fruit vendor ordered some fruits. 45% of the fruits he ordered were passion fruits and the rest were peaches. Each passion fruit cost $1.50 and each peach cost 40% more than each passion fruit. The vendor paid a total of $549.
- Find the total cost of the passion fruits.
- How many peaches did he order?
(a)
| |
Passion Fruits |
Peaches |
| Numbers |
9 u |
11 u |
| Price |
$1.50 |
$2.10 |
| Total value |
13.5 u |
23.1 u |
45% =
45100 =
920Number of passion fruits = 9 u
Number of peaches = 20 u - 9 u = 11 u
Price of each passion fruit in percent = 100%
Price of each peach in percent = 100% + 40% = 140%
Price of each peach
= 1.50 x 140%
= 1.50 x
140100 = $2.10
13.5 u + 23.1 u = 549
36.6 u = 549
1 u = 549 ÷ 36.6 = 15
Cost of the passion fruits
= 9 u x 1.50
= 9 x 15 x 1.50
= $202.5
(b)
Number of peaches ordered
= 11 u
= 11 x 15
= 165
Answer(s): (a) $202.5; (b) 165
