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:
[tex]2x + 5y = 4.2[/tex]
So
[tex]2x = 4.2 - 5y[/tex]
[tex]x = 2.1 - 2.5y[/tex]
3 apples and 4 bananas cost 4.
This means that:
[tex]3x + 4y = 4[/tex]
Since [tex]x = 2.1 - 2.5y[/tex]
[tex]3(2.1 - 2.5y) + 4y = 4[/tex]
[tex]6.3 - 7.5y + 4y = 4[/tex]
[tex]3.5y = 2.3[/tex]
[tex]y = \frac{2.3}{3.5}[/tex]
[tex]y = 0.66[/tex]
Then:
[tex]x = 2.1 - 2.5(0.66) = 0.45[/tex]
An apple costs $0.45 and a banana costs $0.66.
