A fruit vendor ordered some fruits. 35% of the fruits he ordered were grapefruits and the rest were starfruits. Each grapefruit cost $1.50 and each starfruit cost 20% more than each grapefruit. The vendor paid a total of $339.
- Find the total cost of the grapefruits.
- How many starfruits did he order?
(a)
| |
Grapefruits |
Starfruits |
| Numbers |
7 u |
13 u |
| Price |
$1.50 |
$1.80 |
| Total value |
10.5 u |
23.4 u |
35% =
35100 =
720Number of grapefruits = 7 u
Number of starfruits = 20 u - 7 u = 13 u
Price of each grapefruit in percent = 100%
Price of each starfruit in percent = 100% + 20% = 120%
Price of each starfruit
= 1.50 x 120%
= 1.50 x
120100 = $1.80
10.5 u + 23.4 u = 339
33.9 u = 339
1 u = 339 ÷ 33.9 = 10
Cost of the grapefruits
= 7 u x 1.50
= 7 x 10 x 1.50
= $105
(b)
Number of starfruits ordered
= 13 u
= 13 x 10
= 130
Answer(s): (a) $105; (b) 130
