A fruit vendor ordered some fruits. 40% of the fruits he ordered were dragonfruits and the rest were peaches. Each dragonfruit cost $2.50 and each peach cost 40% more than each dragonfruit. The vendor paid a total of $155.
- Find the total cost of the dragonfruits.
- How many peaches did he order?
(a)
| |
Dragonfruits |
Peaches |
| Numbers |
2 u |
3 u |
| Price |
$2.50 |
$3.50 |
| Total value |
5 u |
10.5 u |
40% =
40100 =
25Number of dragonfruits = 2 u
Number of peaches = 5 u - 2 u = 3 u
Price of each dragonfruit in percent = 100%
Price of each peach in percent = 100% + 40% = 140%
Price of each peach
= 2.50 x 140%
= 2.50 x
140100 = $3.50
5 u + 10.5 u = 155
15.5 u = 155
1 u = 155 ÷ 15.5 = 10
Cost of the dragonfruits
= 2 u x 2.50
= 2 x 10 x 2.50
= $50
(b)
Number of peaches ordered
= 3 u
= 3 x 10
= 30
Answer(s): (a) $50; (b) 30
