Answer:
The price of one apple is $1.20 while the price of one orange is $1.
Explanation:
• Let the price of one apple = a
,
• Let the price of one orange = b
The person in front gets 5 apples and 4 oranges for 10 dollars.
[tex]5a+4b=10[/tex]
You get 5 apples and 5 oranges for 11 dollars.
[tex]5a+5b=11[/tex]
Next, solve the system of equations:
[tex]\begin{gathered} 5a+4b=10 \\ 5a+5b=11 \\ \text{Subtract} \\ b=1 \end{gathered}[/tex]
Substitute b=1 to solve for a:
[tex]\begin{gathered} 5a+4b=10 \\ 5a+4(1)=10 \\ \text{5a}=10-4 \\ 5a=6 \\ a=\frac{6}{5} \\ a=\$1.2 \end{gathered}[/tex]
Therefore, the price of one apple is $1.20 while the price of one orange is $1.
