Answer :
Answer:
Step-by-step explanation:
n=q-9
5n+25q=465, using n from above this becomes
5(q-9)+25q=465
5q-45+25q=465
30q-45=465
30q=510
q=17, and since n=q-9
n=17-9
n=8
So Melinda has 8 nickels and 17 quarters.
She has 8 nickles and 17 quarters.
What is substitution method?
The substitution method is one of the algebraic methods to solve simultaneous linear equations. It involves substituting the value of any one of the variables from one equation into the other equation.
Given
Little Melinda has nickels and quarters in her bank.
She has nine fewer nickels than quarters.
Q = N + 9
She has $4.65 in the bank
25Q + 5N = 465
Substitute Q = N + 9 in above equation
25(N + 9) + 5N = 465
⇒ 25N + 225 + 5N = 465
⇒ 30N = 465 - 225
⇒ 30N = 240
⇒ N = [tex]\frac{240}{30}[/tex]
⇒ N = 8
Q = N + 9
⇒ Q = 8 + 9
⇒ Q = 17
Hence, She has 8 nickles and 17 quarters.
Find out more information about substitution method here
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