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Beverley has quarters and dimes in her pocket. She has 21 coins with a total value of $3.00. How many of each type of coin does she have? [?] quarters [ dimes Enter the number that belongs in the green box. Enter​

Beverley has quarters and dimes in her pocket She has 21 coins with a total value of 300 How many of each type of coin does she have quarters dimes Enter the nu class=

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davoo1821

Answer:

Step-by-step explanation:

If all 21 coins were dimes, she'd have $2.10. But she has 90 more cents than that. Now for each coin that's a quarter, not a dime, she has 15 cents more. 90/15= 6. So there are 6 quarters, and 21-6 = 15 dimes.

Now we do it backwards to see if it's right. 6 quarters is $1.50, 15 dimes is $1.50, add those together and you get $3. So it's right. 6 quarters, 15 dimes.

Beverley has quarters and dimes in her pocket.

There are 15 dimes and 6 quarters in her pocket.

1 Dime = $ 0.1

1 Quarter = $0.25

Let there be "D" dimes and "Q" Quarters.

So according to the given situation as there are  total 21 coins which can be formulated in equation (1)

[tex]\rm Q + D = 21 .......(1) \\[/tex]

Also the total value of money is $3 which can be formulated in equation (2)

[tex]\rm 0.1 D + 0.25 Q = 3 .............(2)[/tex]

Equations (1) and (2) represents two linear equations with two variables

On solving equation (1) and (2) for Q and D we can get

D = 15  and Q = 6

So we can conclude that there are 15 dimes and 6 quarters in Beverley's   pocket.

For more information please refer to the link given below

https://brainly.com/question/21835898

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