A fruit vendor ordered some fruits. 45% of the fruits he ordered were grapefruits and the rest were peaches. Each grapefruit cost $2.50 and each peach cost 40% more than each grapefruit. The vendor paid a total of $1342.
- Find the total cost of the grapefruits.
- How many peaches did he order?
(a)
| |
Grapefruits |
Peaches |
| Numbers |
9 u |
11 u |
| Price |
$2.50 |
$3.50 |
| Total value |
22.5 u |
38.5 u |
45% =
45100 =
920Number of grapefruits = 9 u
Number of peaches = 20 u - 9 u = 11 u
Price of each grapefruit in percent = 100%
Price of each peach in percent = 100% + 40% = 140%
Price of each peach
= 2.50 x 140%
= 2.50 x
140100 = $3.50
22.5 u + 38.5 u = 1342
61 u = 1342
1 u = 1342 ÷ 61 = 22
Cost of the grapefruits
= 9 u x 2.50
= 9 x 22 x 2.50
= $495
(b)
Number of peaches ordered
= 11 u
= 11 x 22
= 242
Answer(s): (a) $495; (b) 242
