Question

If 2 apple and 5 bananas cost 4.20 dollars and 3 apples and 4 bananas coke 4.So dollars what is the price of a apple and banana

Answer 1

An apple costs $0.45 and a banana costs $0.66.

Explanation:

This question is solved by a system of equations.

I am going to say that:

An apple costs x.

A banana costs y.

2 apple and 5 bananas cost 4.20 dollars

This means that:

`2x + 5y = 4.2`

So

`2x = 4.2 - 5y`

`x = 2.1 - 2.5y`

3 apples and 4 bananas cost 4.

This means that:

`3x + 4y = 4`

Since
`x = 2.1 - 2.5y`

`3(2.1 - 2.5y) + 4y = 4`

`6.3 - 7.5y + 4y = 4`

`3.5y = 2.3`

`y = (2.3)/(3.5)`

`y = 0.66`

Then:

`x = 2.1 - 2.5(0.66) = 0.45`

An apple costs $0.45 and a banana costs $0.66.