A child has a bottle full of pennies, nickels,dimes and quarters. There are twice as many quarters as pennies, four times as many nickels as pennies, and five times as many dimes as nickels. How many more dimes does the child have than quarters?

Respuesta :

Answer:19x

Step-by-step explanation:

Take x as the value of pennies

If there are twice as many quarters as pennies then the explanation should be

Pennies =x

Quarters =2x

If there are 4 times as many nickels as pennies then the explanation is

Pennies =x

Nickels =4x

If there are 5 times as many dimes as nickels then the explanation is

Nickels =4x

Dimes=20x

So the values of them all is

Pennies =x

Nickels =4x

Dimes =20x

Quarters =2x

So to get how many more dimes does the child have than quarters you subtract

20x-2x=19x

The Number of dimes the child has more than quarters is; 10 times more.

Let number of pennies be P

Since he has twice as many quarters as pennies, then;

Number of quarters; Q = 2P

Four times as many nickels as pennies. Then;

Number of nickels; N = 4P

five times as many dimes as nickels. Then;

Number of dimes; D = 5N = 5(4P) = 20P

Since number of quarters = 2P

And number of dimes = 20P

Then;

Number of dimes the child has more than quarters is; 20P/2P = 10

Thus, the child has ten times as many dimes as quarters

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