Answer:
She has 23 nickles and 5 dimes.
Step-by-step explanation:
Let n = the number of nickles and d = the number of dimes.
The number of each = 28. Set up the equation:
n + d = 28
Solve for n:
n = 28 - d
The total amount is $1.65 or 165 cents:
5n + 10d = 165
Substitute:
5(28 - d) + 10d = 165
140 - 5d + 10d = 165
140 + 5d = 165
5d = 165 - 140
5d = 25
d = 5, the number of dimes.
Solve for n:
n = 28 - d
n = 28 - 5 = 23, the number of nickles.
Proof:
5n + 10d = 165
5(23) + 10(5) = 165
115 + 50 = 165
165 = 165
Hope this Helps! Have an Awesome Day!! (-:
