A fruit vendor ordered some fruits. 40% of the fruits he ordered were grapefruits and the rest were peaches. Each grapefruit cost $2.60 and each peach cost 50% more than each grapefruit. The vendor paid a total of $169.
- Find the total cost of the grapefruits.
- How many peaches did he order?
(a)
| |
Grapefruits |
Peaches |
| Numbers |
2 u |
3 u |
| Price |
$2.60 |
$3.90 |
| Total value |
5.2 u |
11.7 u |
40% =
40100 =
25Number of grapefruits = 2 u
Number of peaches = 5 u - 2 u = 3 u
Price of each grapefruit in percent = 100%
Price of each peach in percent = 100% + 50% = 150%
Price of each peach
= 2.60 x 150%
= 2.60 x
150100 = $3.90
5.2 u + 11.7 u = 169
16.9 u = 169
1 u = 169 ÷ 16.9 = 10
Cost of the grapefruits
= 2 u x 2.60
= 2 x 10 x 2.60
= $52
(b)
Number of peaches ordered
= 3 u
= 3 x 10
= 30
Answer(s): (a) $52; (b) 30
