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It's almost time to go home. You spent a lot of money this Vacation! you are counting up the money you have left. You only have dimes and quarters, and you have a total of 103 coins worth $15.25. How many dimes do you have? Solve Using Substatution

Respuesta :

Start writing the equation of the number of coins

[tex]q+d=103[/tex]

then, using the value of each coin write the equation for the amount of money you have

[tex]0.25q+0.10d=15.25[/tex]

then, use the first equation to solve for d

[tex]d=103-q[/tex]

substitute in the second equation

[tex]\begin{gathered} 0.25q+0.10\cdot(103-q)=15.25 \\ \end{gathered}[/tex]

simplify and solve for q

[tex]\begin{gathered} 0.25q+10.3-0.10q=15.25 \\ 0.15q=15.25-10.3 \\ 0.15q=4.95 \\ q=\frac{4.95}{0.15} \\ q=33 \end{gathered}[/tex]

find the value of d

[tex]\begin{gathered} d=103-q \\ d=103-33 \\ d=70 \end{gathered}[/tex]

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