Question

in a fruit basket there are 120 fruits some are plums costing 2$ each and others are peaches costing 3$ each total cost of plims was 30$ more than the cost of peaches how many plums and how many peahces are there

Answer 1

In a fruit basket there are 120 fruits some are plums

Answer 2

There are 78 plums and 42 peaches.

Explanation:

Let p = number of plums.

Let e = number of peaches.

The value of the plums is 2p.

The value of the peaches is 3e.

"total cost of plims was 30$ more than the cost of peaches"

2p = 3e + 30

"there are 120 fruits some are plums [...] others are peaches"

p + e = 120

We have a system of simultaneous equations.

2p = 3e + 30

p + e = 120

2p = 3e + 30

p = -e + 120

2p = 3e + 30

+ 3p = -3e + 360

------------------------------

5p = 390

p = 78

p + e = 120

78 + e = 120

e = 42

Answer: There are 78 plums and 42 peaches.

Check:

78 plums cost 78 × $2 = $156

42 peaches cost 42 × $3 = 126

$156 - $126 = $30

The plums do cost $30 more than the peaches.

78 + 42 = 120

The total is indeed 120.

The answer above is correct.