Answer:
Let's start by assigning variables to represent the number of nickels, dimes, and quarters in the jar.
Let x be the number of nickels.
Then the number of dimes is 3 times as many as nickels, so the number of dimes is 3x.
And the number of quarters is twice as many as dimes, so the number of quarters is 2(3x) = 6x.
We know that the total amount of money in the jar is $5.55, which is equal to:
0.05x (for the value of the nickels) + 0.10(3x) (for the value of the dimes) + 0.25(6x) (for the value of the quarters)
Simplifying this expression, we get:
0.05x + 0.30x + 1.50x = 5.55
Combining like terms, we have:
1.85x = 5.55
Dividing both sides by 1.85, we get:
x = 3
So there are 3 nickels in the jar.
Using this value, we can find the number of dimes and quarters:
Number of dimes = 3x = 3(3) = 9
Number of quarters = 6x = 6(3) = 18
Therefore, there are 3 nickels, 9 dimes, and 18 quarters in the jar.
Explanation: