Tony has a total of 25 dimes and quarters in his piggy bank that adds up to $4.00 .
what is your question? this is just saying how much tony has in his piggy bank
Probably, how many dimes and quarters does he have?
Quarters --- x
dimes ----- 25-x
solve for x:
25x + 10(25-x) = 400
To find the number of dimes and quarters Tony has, we can set up a system of equations.
Let's represent the number of dimes as "d" and the number of quarters as "q".
We are given two pieces of information in the problem:
1) Tony has a total of 25 dimes and quarters: d + q = 25
2) The total value of the dimes and quarters is $4.00: 0.10d + 0.25q = 4.00
To solve this system of equations, we can use the method of substitution or elimination.
Substitution Method:
1) Solve the first equation for "d" in terms of "q":
d = 25 - q
2) Substitute the value of "d" from step 1 into the second equation:
0.10(25 - q) + 0.25q = 4.00
Simplify the equation:
2.5 - 0.1q + 0.25q = 4.00
Combine like terms:
0.15q = 1.5
Divide both sides by 0.15:
q = 10
3) Substitute the value of "q" from step 2 into the first equation to find the value of "d":
d + 10 = 25
Subtract 10 from both sides:
d = 15
Therefore, Tony has 15 dimes and 10 quarters in his piggy bank.