Question 1153170
<br>
Solving the problem mentally, with the "80% more pennies than nickels" I would say for every 5 nickels there are 9 pennies.<br>
Then each group of 5 nickels and 9 pennies has a value of 34 cents.<br>
The total $22.10, divided by 34 cents, gives 65 groups.<br>
Finally, since each group contains 5 nickels, the number of nickels is 65*5 = 325.<br>
Formally....<br>
Let x = number of nickels
Then 1.8x = number of pennies<br>
The total value of the nickels at 5 cents each and the pennies at 1 cent each is $22.10, or 2210 cents:<br>
{{{5(x)+1(1.8x) = 2210}}}
{{{5x+1.8x = 2210}}}
{{{6.8x = 2210}}}
{{{x = 2210/6.8 = 325}}}<br>
ANSWER: 325 nickels<br>