A fruit vendor ordered some fruits. 30% of the fruits he ordered were mangosteens and the rest were dragonfruits. Each mangosteen cost $1.60 and each dragonfruit cost 50% more than each mangosteen. The vendor paid a total of $108.
- Find the total cost of the mangosteens.
- How many dragonfruits did he order?
(a)
| |
Mangosteens |
Dragonfruits |
| Numbers |
3 u |
7 u |
| Price |
$1.60 |
$2.40 |
| Total value |
4.8 u |
16.8 u |
30% =
30100 =
310Number of mangosteens = 3 u
Number of dragonfruits = 10 u - 3 u = 7 u
Price of each mangosteen in percent = 100%
Price of each dragonfruit in percent = 100% + 50% = 150%
Price of each dragonfruit
= 1.60 x 150%
= 1.60 x
150100 = $2.40
4.8 u + 16.8 u = 108
21.6 u = 108
1 u = 108 ÷ 21.6 = 5
Cost of the mangosteens
= 3 u x 1.60
= 3 x 5 x 1.60
= $24
(b)
Number of dragonfruits ordered
= 7 u
= 7 x 5
= 35
Answer(s): (a) $24; (b) 35
