Answer: Option 'c' is correct.
Step-by-step explanation:
Let the number of dimes be 'x'.
Let the number of nickels be '
'.
Let the number of pennies be 
Let the number of quarters be '3x-34'.
As we know that
1 quarter = $0.25
1 dime = $0.10
1 nickel = $0.05
1 penny = $0.01
According to question, we get that

So, the number of pennies is given by

Hence, Option 'c' is correct.
If they together at the same rate for the same amount of time, they will solve 48 math problems,
From the question, we can see that two mathletes solve 32 math problems in a certain amount of time, this can be written as:
- 2 mathletes = 32 math problems
In order to determine the number of problems for 3 mathletes, this is expressed as:
DIvide both expressions:
Cross multiply
2x = 3* 32
x = 3 * 16
x = 48math problems
Hence if they together at the same rate for the same amount of time, they will solve 48 math problems,
Learn more on proportion here: brainly.com/question/1496357