A fruit vendor ordered some fruits. 45% of the fruits he ordered were peaches and the rest were starfruits. Each peach cost $1.60 and each starfruit cost 50% more than each peach. The vendor paid a total of $816.
- Find the total cost of the peaches.
- How many starfruits did he order?
(a)
| |
Peaches |
Starfruits |
| Numbers |
9 u |
11 u |
| Price |
$1.60 |
$2.40 |
| Total value |
14.4 u |
26.4 u |
45% =
45100 =
920Number of peaches = 9 u
Number of starfruits = 20 u - 9 u = 11 u
Price of each peach in percent = 100%
Price of each starfruit in percent = 100% + 50% = 150%
Price of each starfruit
= 1.60 x 150%
= 1.60 x
150100 = $2.40
14.4 u + 26.4 u = 816
40.8 u = 816
1 u = 816 ÷ 40.8 = 20
Cost of the peaches
= 9 u x 1.60
= 9 x 20 x 1.60
= $288
(b)
Number of starfruits ordered
= 11 u
= 11 x 20
= 220
Answer(s): (a) $288; (b) 220
