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You have a total of 10 coins consisting of nickels and dimes in your pocket. The value of the coins is $0.70. Write and solve a system of linear equations to
nickels and dimes in your pocket. Let x represent the number of nickels and let y represent the number of dimes.
System of equations
There are
nickels in your pocket and
dimes in your pocket

Respuesta :

charismahedge

Answer:

6 nickels and 4 dimes

Step-by-step explanation:

6 times .05 is .30

4 times .10 is .40

just add them

.40 + .30 = .70

The equation should be:

.70 = .10y + .05x

varshamittal029

I have 4 dimes and 6 nickels.

The question is ill-formatted. The following is the question.

You have a total of ten coins in your pocket, all of which are nickels and dimes. The total value of the coins is $0.70. To find nickels and dimes in your pocket, write and solve a system of linear equations. Let x represents the number of nickels and let y represent the number of dimes. Find the number of nickels and dimes.

How much is a cent?

One-hundredth of a dollar is equivalent to one cent.

How much is a nickel?

A nickel is worth 5 cents. That means $0.05.

How much is a dime?

A dime is worth 10 cents. That means $0.10.

How to solve the question?

As per the question,

conversion of the statements into mathematical equations:

  • "You have a total of ten coins in your possession, all of which are nickels and dimes."
    this statement is converted into
    x+y=10
  • "The coins have a total value of $0.70."
    this statement is converted into
    0.05x+0.10y=0.70
    ⇒x+2y=14

Subtracting the above equation from the below equation we get y=4.
And by substituting y=4 in x+y=10 we get x=6.

Hence, I have 4 dimes and 6 nickels.

To learn more about the system of linear equations visit- brainly.com/question/19549073

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