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Little Melinda has nickels and quarters in her bank. She has nine fewer nickels than quarters. She has $4.65 in the bank. How many coins of each type does she have? How many quarters does she have?​

Sagot :

irspow

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

https://brainly.com/question/14619835

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