Henry has quarters, dimes, nickels and pennies in a coin jar. He says that the total amount of money is two dollars and forty-one cents. He also claims that there are exactly twenty-three pennies. Let q be the number of quarters, d be the number of dimes, and n be the number of nickels. Write the equation which represents the relationship expressed above.

Step-by-step explanation:

The worth of a dime is 10 cents. Converting to dollars, it becomes

10/100 = $0.1

The worth of a quarter is 25 cents. Converting to dollars, it becomes

25/100 = $0.25

The worth of a nickel is 5 cents. Converting to dollars, it becomes

5/100 = $0.05

The worth of a penny is 1 cent. Converting to dollars, it becomes

1/100 = $0.01

Let d represent the number of dimes that he has.

Let n represent the number of nickels that he has.

Let q represent the number of quarters that he has.

He also claims that there are exactly twenty-three pennies.. This means that the total value of the pennies he has is

23 × 0.01 = $0.23

Henry has quarters, dimes, nickels and pennies in a coin jar. He says that the total amount of money is two dollars and forty-one cents.

Therefore, the equation which represents the relationship expressed above is

0.1d + 0.25q + 0.05n + 0.23 = 2.41