Question

Miguel finds some nickels and quarters under the couch cushions. how much money (in cents) does he have if he has 5 nickels and 4 quarters? how much money (in cents) does he have if he has nn nickels and qq quarters?

Answer 1

Miguel has 125 cents from 5 nickels and 4 quarters. To calculate the total money when he has nn nickels and qq quarters, multiply nn by 5 cents and qq by 25 cents, and then add the results.

Step-by-step explanation:

To find out how much money Miguel has in cents with 5 nickels and 4 quarters, we first need to know the value of each coin. A nickel is worth 5 cents, and a quarter is worth 25 cents. Therefore, the total amount of money Miguel has with 5 nickels and 4 quarters is calculated as follows:

1. Multiply the number of nickels by the value of a nickel: 5 nickels × 5 cents = 25 cents.
2. Multiply the number of quarters by the value of a quarter: 4 quarters × 25 cents = 100 cents.
3. Add the value of the nickels to the value of the quarters: 25 cents + 100 cents = 125 cents.

So, Miguel has 125 cents in total.

For the second part of the question, if Miguel has nn nickels and qq quarters, we use algebra to express the total amount of money:

• Total amount in cents from nickels = nn × 5 cents.
• Total amount in cents from quarters = qq × 25 cents.
• Grand total in cents = (nn × 5) + (qq × 25) cents.