Respuesta :
96 sodas
38 hot dogs
Explanation
Step 1
Set the equations:
let x represents the number of sodas sold
let y represents the number of hot dogs sold
then
a)a football game a vendor sold a combined total of 134 sodas and hot dogs
rewrite
[tex]x+y=134\Rightarrow equation(1)[/tex]b)The number of sodas sold was 58 more than the number of hot dogs sold( in other words, you have to add 58 to the number of hot dogs sold to get the number of sodas sold)
so
[tex]x=y+58\Rightarrow equation(2)[/tex]Step 2
Solve the equations
a)replace the x value from equation (2) into equation(1)
[tex]\begin{gathered} x+y=134\Rightarrow equation(1) \\ (y+58)+y=134 \\ \text{add like terms} \\ 2y+58=134 \\ \text{subtract 58 in both sides} \\ 2y+58-58=134-58 \\ 2y=76 \\ \text{divde both sides by 2} \\ \frac{2y}{2}=\frac{76}{2} \\ y=38 \end{gathered}[/tex]hence
the number of hot dogs sold is 38
B)now, replace the y value into equation(1) and so
[tex]\begin{gathered} x+y=134\Rightarrow equation(1) \\ \text{replace} \\ x+38=134 \\ \text{subtract 38 in both sides} \\ x+38-38=134-38 \\ x=96 \end{gathered}[/tex]therefore
the number of sodas sold is 96
I hope this helps you
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