Anna bought 10 oranges
Explanation:
Let x denote the number of apples.
Let y denote the number of oranges.
The system of equations can be written as
[tex]x+y=25[/tex] and [tex]2x+3y=60[/tex]
Let us solve the equation by substitution method.
Thus, from [tex]x+y=25[/tex], the value of y can be determined such that [tex]y=25-x[/tex]
Using the y value [tex]y=25-x[/tex] in the equation [tex]2x+3y=60[/tex], we get,
[tex]2x+3(25-x)=60[/tex]
Multiplying 3 within the bracket,
[tex]2x+75-3x=60[/tex]
Adding the terms,
[tex]75-x=60[/tex]
Subtracting both sides by 75, we have,
[tex]x=15[/tex]
Thus, substituting [tex]x=15[/tex] in [tex]y=25-x[/tex], we get,
[tex]y=25-15\\y=10[/tex]
Thus, Anna get 10 Oranges.
