Question 1127683
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The given information compares the numbers of both quarters and pennies to the number of nickels.  That means it is probably easiest to set up the problem using the number of nickels as the variable.<br>
Let x = number of nickels
Then x+1 = number of quarters  ("...one more quarter than nickels")
And 3x = number of pennies  ("three times as many pennies as nickels")<br>
Write and solve the equation that says the total value of the nickels (5 cents each), quarters (25 cents each) and pennies (1 cent each) is $10.15 (1015 cents):<br>
{{{5(x)+25(x+1)+1(3x) = 1015}}}
{{{5x+25x+25+3x = 1015}}}
{{{33x = 990}}}
{{{x = 30}}}<br>
ANSWER: The coins she has are
x = 30 nickels
x+1 = 31 quarters
3x = 90 pennies