A fruit vendor ordered some fruits. 35% of the fruits he ordered were persimmons and the rest were pears. Each persimmon cost $2.80 and each pear cost 25% more than each persimmon. The vendor paid a total of $1302.
- Find the total cost of the persimmons.
- How many pears did he order?
(a)
| |
Persimmons |
Pears |
| Numbers |
7 u |
13 u |
| Price |
$2.80 |
$3.50 |
| Total value |
19.6 u |
45.5 u |
35% =
35100 =
720Number of persimmons = 7 u
Number of pears = 20 u - 7 u = 13 u
Price of each persimmon in percent = 100%
Price of each pear in percent = 100% + 25% = 125%
Price of each pear
= 2.80 x 125%
= 2.80 x
125100 = $3.50
19.6 u + 45.5 u = 1302
65.1 u = 1302
1 u = 1302 ÷ 65.1 = 20
Cost of the persimmons
= 7 u x 2.80
= 7 x 20 x 2.80
= $392
(b)
Number of pears ordered
= 13 u
= 13 x 20
= 260
Answer(s): (a) $392; (b) 260
