A fruit vendor ordered some fruits. 40% of the fruits he ordered were persimmons and the rest were dragonfruits. Each persimmon cost $1.60 and each dragonfruit cost 50% more than each persimmon. The vendor paid a total of $104.
- Find the total cost of the persimmons.
- How many dragonfruits did he order?
(a)
| |
Persimmons |
Dragonfruits |
| Numbers |
2 u |
3 u |
| Price |
$1.60 |
$2.40 |
| Total value |
3.2 u |
7.2 u |
40% =
40100 =
25Number of persimmons = 2 u
Number of dragonfruits = 5 u - 2 u = 3 u
Price of each persimmon 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
3.2 u + 7.2 u = 104
10.4 u = 104
1 u = 104 ÷ 10.4 = 10
Cost of the persimmons
= 2 u x 1.60
= 2 x 10 x 1.60
= $32
(b)
Number of dragonfruits ordered
= 3 u
= 3 x 10
= 30
Answer(s): (a) $32; (b) 30
