A. The total amount of money is $1.87, and we know that 60 cents of it is in pennies. So, the remaining amount in coins other than pennies is $1.27 ($1.87 - $0.60).

We can express this amount in terms of quarters (25 cents), dimes (10 cents), and nickels (5 cents).

Let's denote the number of quarters as Q, dimes as D, and nickels as N.

The equation representing the value of the coins would be:

25Q + 10D + 5N = 127

This equation can be simplified by dividing all terms by 5:

5Q + 2D + N = 25.4

However, since the number of coins must be an integer, the equation 5Q + 2D + N = 25.4 does not make sense in this context because 25.4 is not an integer. Therefore, it is not possible to express $1.27 exactly using quarters, dimes, and nickels.

B. Yes, it is possible to have exactly 60 pennies in $1.87. Pennies are valued at 1 cent, so 60 pennies would be equal to 60 cents. The remaining $1.27 could be made up of other coins (quarters, dimes, nickels).

Question

A. The total amount of money is $1.87, and we know that 60 cents of it is in pennies. So, the remaining amount in coins other than pennies is $1.27 ($1.87 - $0.60).

We can express this amount in terms of quarters (25 cents), dimes (10 cents), and nickels (5 cents).

Let's denote the number of quarters as Q, dimes as D, and nickels as N.

The equation representing the value of the coins would be:

25Q + 10D + 5N = 127

This equation can be simplified by dividing all terms by 5:

5Q + 2D + N = 25.4

However, since the number of coins must be an integer, the equation 5Q + 2D + N = 25.4 does not make sense in this context because 25.4 is not an integer. Therefore, it is not possible to express $1.27 exactly using quarters, dimes, and nickels.

B. Yes, it is possible to have exactly 60 pennies in $1.87. Pennies are valued at 1 cent, so 60 pennies would be equal to 60 cents. The remaining $1.27 could be made up of other coins (quarters, dimes, nickels).

Knowee AI · Accepted Answer

A. The total amount of money is $1.87, and we know that 60 cents of it is in pennies. So, the remaining amount in coins other than pennies is $1.27 ($1.87 - $0.60).

We can express this amount in terms of quarters (25 cents), dimes (10 cents), and nickels (5 cents).

Let's denote the number of quarters as Q, dimes as D, and nickels as N.

The equation representing the value of the coins would be:

25Q + 10D + 5N = 127

This equation can be simplified by dividing all terms by 5:

5Q + 2D + N = 25.4

However, since the number of coins must be an integer, the equation 5Q + 2D + N = 25.4 does not make sense in this context because 25.4 is not an integer. Therefore, it is not possible to express $1.27 exactly using quarters, dimes, and nickels.

B. Yes, it is possible to have exactly 60 pennies in $1.87. Pennies are valued at 1 cent, so 60 pennies would be equal to 60 cents. The remaining $1.27 could be made up of other coins (quarters, dimes, nickels).

Question

Solution

Similar Questions

Upgrade your grade with Knowee