Respuesta :
Using a system of equations, it is found that there are 147 dimes and 52 quarters in the machine.
What is a system of equations?
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Number of dimes.
- Variable y: Number of quarters.
There are 199 coins, hence:
x + y = 199 -> y = 199 - x.
The value of dimes(each is worth $0.1) is $1.7 more than the sum of the quarters(each is worth $0.25), hence:
0.1x - 0.25y = 1.7.
Since y = 199 - x:
0.1x - 0.25(199 - x) = 1.7.
0.35x = 51.45
x = 51.45/0.35
x = 147
y = 199 - 147 = 52
There are 147 dimes and 52 quarters in the machine.
More can be learned about a system of equations at https://brainly.com/question/24342899
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