A fruit vendor ordered some fruits. 35% of the fruits he ordered were dragonfruits and the rest were peaches. Each dragonfruit cost $1.50 and each peach cost 60% more than each dragonfruit. The vendor paid a total of $417.
- Find the total cost of the dragonfruits.
- How many peaches did he order?
(a)
| |
Dragonfruits |
Peaches |
| Numbers |
7 u |
13 u |
| Price |
$1.50 |
$2.40 |
| Total value |
10.5 u |
31.2 u |
35% =
35100 =
720Number of dragonfruits = 7 u
Number of peaches = 20 u - 7 u = 13 u
Price of each dragonfruit in percent = 100%
Price of each peach in percent = 100% + 60% = 160%
Price of each peach
= 1.50 x 160%
= 1.50 x
160100 = $2.40
10.5 u + 31.2 u = 417
41.7 u = 417
1 u = 417 ÷ 41.7 = 10
Cost of the dragonfruits
= 7 u x 1.50
= 7 x 10 x 1.50
= $105
(b)
Number of peaches ordered
= 13 u
= 13 x 10
= 130
Answer(s): (a) $105; (b) 130
