A fruit vendor ordered some fruits. 30% of the fruits he ordered were persimmons and the rest were grapefruits. Each persimmon cost $2.50 and each grapefruit cost 40% more than each persimmon. The vendor paid a total of $352.
- Find the total cost of the persimmons.
- How many grapefruits did he order?
(a)
| |
Persimmons |
Grapefruits |
| Numbers |
3 u |
7 u |
| Price |
$2.50 |
$3.50 |
| Total value |
7.5 u |
24.5 u |
30% =
30100 =
310Number of persimmons = 3 u
Number of grapefruits = 10 u - 3 u = 7 u
Price of each persimmon in percent = 100%
Price of each grapefruit in percent = 100% + 40% = 140%
Price of each grapefruit
= 2.50 x 140%
= 2.50 x
140100 = $3.50
7.5 u + 24.5 u = 352
32 u = 352
1 u = 352 ÷ 32 = 11
Cost of the persimmons
= 3 u x 2.50
= 3 x 11 x 2.50
= $82.5
(b)
Number of grapefruits ordered
= 7 u
= 7 x 11
= 77
Answer(s): (a) $82.5; (b) 77
