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25) Hailee bought two muffins and a $1.50 cup of coffee. She spent the same amount as Ehren who bought three muffins and a $1.00 cup of coffee. Write and solve an equation to determine the cost of a single muffin.

Respuesta :

In this problem we can write an equation for each of them when x is the cost of a single muffin and y is the total amount they spent so:

for Halilee:

[tex]2x+1.50=y[/tex]

For Ehren

[tex]3x+1.00=y[/tex]

Now we have two equations and two variable so we can made them equal and solve for x so:

[tex]\begin{gathered} 2x+1.50=3x+1.00 \\ 1.50-1.00=3x-2x \\ 0.50=x \end{gathered}[/tex]

So each muffin cost 0.50 dollars

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