Question

Easton finds some dimes and quarters in his piggy bank. How much money (in dollars) does he have if he has 5 dimes and 8 quarters? How much money (in dollars) does he have if he has x dimes and y quarters?Total value, 5 dimes and 8 quarters (dollars): Total value, x dimes and y quarters (dollars):

Answer 1

Recall that:

$\begin{gathered} 1dime=0.10dollars, \\ 1quarter=0.25dollars. \end{gathered}$

Therefore:

$\begin{gathered} 5dimes+8quarters=5*0.10dollars+8*0.25dollars \\ =0.50dollars+2dollars=2.50dollars. \end{gathered}$

Also, if we have x dimes and y quarters we get that:

$\begin{gathered} xdimes+yquarters=x*0.10dollars+y*0.25dollars \\ =(x*0.10+y*0.25)dollars. \end{gathered}$

Answer:

1) $2.50.

2) $(0.10x+0.25y).