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

Answer:

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

Step-by-step 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 $x = 2.1 - 2.5y$

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

$6.3 - 7.5y + 4y = 4$

$3.5y = 2.3$

$y = \frac{2.3}{3.5}$

$y = 0.66$

Then:

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

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