A fruit vendor ordered some fruits. 40% of the fruits he ordered were dragonfruits and the rest were starfruits. Each dragonfruit cost $1.20 and each starfruit cost 50% more than each dragonfruit. The vendor paid a total of $78.
- Find the total cost of the dragonfruits.
- How many starfruits did he order?
(a)
| |
Dragonfruits |
Starfruits |
| Numbers |
2 u |
3 u |
| Price |
$1.20 |
$1.80 |
| Total value |
2.4 u |
5.4 u |
40% =
40100 =
25Number of dragonfruits = 2 u
Number of starfruits = 5 u - 2 u = 3 u
Price of each dragonfruit in percent = 100%
Price of each starfruit in percent = 100% + 50% = 150%
Price of each starfruit
= 1.20 x 150%
= 1.20 x
150100 = $1.80
2.4 u + 5.4 u = 78
7.8 u = 78
1 u = 78 ÷ 7.8 = 10
Cost of the dragonfruits
= 2 u x 1.20
= 2 x 10 x 1.20
= $24
(b)
Number of starfruits ordered
= 3 u
= 3 x 10
= 30
Answer(s): (a) $24; (b) 30
