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This question is solved using a system of equations, and doing this, we get that: There are 9 quarters, 4 nickels and 12 dimes.
I am going to say that:
x is the number of nickels.
y is the number of dimes.
z is the number of quarters.
In all, they are worth $3.65.
A nickel is worth $0.05, a dime is worth $0.1 and a quarter is worth $0.25, so:
Dimes: 3 times greater than nickels:
This means that:
Quarters: One greater than double the number of nickels:
This means that:
Value of x:
We have y and z as function of x, so we can replace into the equation and find the value of x, so:
y and z:
There are 9 quarters, 4 nickels and 12 dimes.
A similar question is found at brainly.com/question/17096268