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PLEASE HELP MEE!!

Shawntae has 21 coins, a combination of nickels and dimes. The total value of her coins is $1.70.
How many of each coin does Shawntae have?
a. Define the variables and then write a system of equations that represent the situation.
(2 points)
b. Solve the system using either the substitution or elimination method. Show your work.
2 points)
C. In a complete sentence, how many nickels and how many dimes does Shawntae have?
(2 points)

Respuesta :

kaylynnrivera8

Answer:b im not sure

Step-by-step explanation:

ur welcome .  

By using substitution method, the number of nickels is 8 and the number of dimes is 13.

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.

Representing the nickels as n and the dimes as d, and knowing that a nickel is 5 cents and a dime is 10 cents, we can write two equations from the given data.

n + d = 21

5n + 10d = 170

We use the first equation to derive a value for n.

n + d = 21

Subtract d from each side.

n + d - d = 21 - d

n = 21 - d.........................(1)

We now simplify the second equation by dividing all terms by 5.

5n + 10d = 170

[tex]\frac{5n}{5} +\frac{10d}{5} =\frac{170}{5}[/tex]

n + 2d = 24

substitute n = 21 - d in above equation

(21 - d) + 2d = 24

21 -d +2d = 24

21 + d = 24

d = 24 - 21

d = 13

n = 21 - d

n = 21 - 13

n = 8

Thus, the number of nickels is 8 and the number of dimes is 13.

Find out more information about substitution method here:

https://brainly.com/question/14619835

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