A fruit vendor ordered some fruits. 40% of the fruits he ordered were dragonfruits and the rest were pears. Each dragonfruit cost $2.20 and each pear cost 50% more than each dragonfruit. The vendor paid a total of $286.
- Find the total cost of the dragonfruits.
- How many pears did he order?
(a)
|
Dragonfruits |
Pears |
Numbers |
2 u |
3 u |
Price |
$2.20 |
$3.30 |
Total value |
4.4 u |
9.9 u |
40% =
40100 =
25Number of dragonfruits = 2 u
Number of pears = 5 u - 2 u = 3 u
Price of each dragonfruit in percent = 100%
Price of each pear in percent = 100% + 50% = 150%
Price of each pear
= 2.20 x 150%
= 2.20 x
150100 = $3.30
4.4 u + 9.9 u = 286
14.3 u = 286
1 u = 286 ÷ 14.3 = 20
Cost of the dragonfruits
= 2 u x 2.20
= 2 x 20 x 2.20
= $88
(b)
Number of pears ordered
= 3 u
= 3 x 20
= 60
Answer(s): (a) $88; (b) 60