Problema Solution
Harry has a box of coins that he uses when playing poker with his friends. The box currently contains 28 coins, consisting of pennies, dimes and quarters. The number of pennies is equal to the number of dimes, and the total value of $2.32. How many of each denomination of coins does he have?
The number of pennies, which is equal to the number of dimes, is ___.
The number of quarters is ____.
(Simply your answer. Type an integer or a decimal)
Answer provided by our tutors
Let the number of pennies be x, the number of dimes is also x. The number of quarters is y
1*x+10*x+25*y=232
If y=1, then 11x+25=232
11x=210
The equation does not have an integer solution, so y is not 1.
Now let's try y=2
If y=2, 11x +2*25=232
This equation does not have an integer solution.
If y=3, 11x +3*25=232
This equation does not have an integer solution.
If y=4, 11x + 4*25=232
The solution is x=12
The number of pennies, which is equal to the number of dimes, is 12
The number of quarters is 4