Question

Elijah has $0.55 worth of pennies and nickels. He has twice as many nickels as pennies. Determine the number of pennies and the number of nickels that Elijah has.

Answer 1

Answer:

The number of nickels are 10 and number of pennies are 5.

Step-by-step explanation:

Given:

Elijah has $0.55 worth of pennies and nickels.

He has twice as many nickels as pennies.

Now, to determine the number of pennies and the number of nickels that Elijah has.

Let the number of nickels be $x.$

And the number of pennies be $y.$

As given that he has twice as many nickels as pennies.

$2y=x$

$x=2y.$ ......(1)

The total worth of worth of pennies and nickels = $0.55.

As, the value of a penny = $0.01.

And the value of a nickel = $0.05.

Now, to get the number of pennies and the number of nickels that Elijah has:

$0.05(x)+0.01(y)=0.55$

Putting the value of $x$ from equation (1):

$0.05(2y)+0.01(y)=0.55$

$0.10y+0.01y=0.55$

$0.11y=0.55$

Dividing both sides by 0.11 we get:

$y=5.$

The number of pennies = 5.

Now, putting the value of $y$ in equation ( 1 ) we get:

$x=2y\\x=2\times 5\\x=10.$

The number of nickels = 10.

Therefore, the number of nickels are 10 and number of pennies are 5.