Final answer:
To find the number of pennies Wilson has, we denote the number of pennies as 'p' and the number of dimes as 'p + 4', since he has 4 more dimes. Then, we create a value equation: 0.01p + 0.10(p + 4) = $1.83, and simplify to solve for 'p', leading to approximately 13 pennies.
Step-by-step explanation:
The student is tasked to determine the number of pennies Wilson has, given that the total amount of money is $1.83, and Wilson has 4 more dimes than pennies. To solve this, we can define p as the number of pennies. Since Wilson has 4 more dimes than pennies, we can denote the number of dimes as p + 4.
The value of a penny is $0.01 and the value of a dime is $0.10. The total value equation can thus be written as:
0.01p (value of all the pennies) + 0.10(p + 4) (value of all the dimes) = $1.83.
Simplifying this equation:
0.01p + 0.10p + $0.40 = $1.83,
Combining like terms, we have:
0.11p + $0.40 = $1.83.
To find the value of p, we subtract $0.40 from both sides:
0.11p = $1.43,
and then divide by 0.11:
p ≈ 13 (this is the number of pennies).