Question 1165037
<br>
As is nearly always the case, solving the problem using formal algebra will be easier if you take the time to set up the problem using a single variable.<br>
x = # of pennies
x = # of dimes (same as the number of pennies)
35-2x = # of quarters (the total number of coins, 35, minus the number of pennies and dimes)<br>
Then use those expressions to write and solve the equation that says the total value of the coins is $2.90, or 290 cents.<br>
{{{25(35-2x)+10(x)+1(x) = 290}}}
{{{875-50x+10x+x = 290}}}
{{{585 = 39x}}}
{{{x = 15}}}<br>
ANSWER:
pennies: x = 15
dimes: x = 15
quarters: 35-30 = 5<br>
CHECK:
25(5)+10(15)+1(15) = 125+150+15 = 290<br>