QuestionDione has 3 rolls of 50 pennies, 4 rolls of 40 nickels, 5 rolls of 50 dimes, and 6 rolls of 40 quarters. Total value?

Studdy Solution

STEP 1

Assumptions1. Dione has3 rolls of pennies, each containing50 coins. . She has4 rolls of nickels, each containing40 coins.
3. She has5 rolls of dimes, each containing50 coins.
4. She has6 rolls of quarters, each containing40 coins.
5. The value of a penny is $0.01, a nickel is$ 0.05, a dime is $0.10, and a quarter is$ 0.25.

STEP 2

First, we need to calculate the total amount of money in each type of coin. We can do this by multiplying the number of rolls by the number of coins in each roll and the value of each coin.
$Total\, pennies = Number\, of\, penny\, rolls \\times Number\, of\, coins\, in\, each\, roll \\times Value\, of\, each\, penny$

STEP 3

Now, plug in the given values for the number of penny rolls, the number of coins in each roll, and the value of each penny to calculate the total amount of money in pennies.
$Total\, pennies =3 \\times50 \\times \$0.01$

STEP 4

Calculate the total amount of money in pennies.
$Total\, pennies =3 \\times50 \\times \$0.01 = \$1.50$

STEP 5

Repeat the same process for nickels, dimes, and quarters.
$Total\, nickels = Number\, of\, nickel\, rolls \\times Number\, of\, coins\, in\, each\, roll \\times Value\, of\, each\, nickel$ $Total\, dimes = Number\, of\, dime\, rolls \\times Number\, of\, coins\, in\, each\, roll \\times Value\, of\, each\, dime$ $Total\, quarters = Number\, of\, quarter\, rolls \\times Number\, of\, coins\, in\, each\, roll \\times Value\, of\, each\, quarter$

STEP 6

Plug in the given values for the number of nickel rolls, the number of coins in each roll, and the value of each nickel to calculate the total amount of money in nickels.
$Total\, nickels =4 \\times40 \\times \$0.05$

STEP 7

Calculate the total amount of money in nickels.
$Total\, nickels =4 \\times40 \\times \$0.05 = \$.00$

STEP 8

Plug in the given values for the number of dime rolls, the number of coins in each roll, and the value of each dime to calculate the total amount of money in dimes.
$Total\, dimes =5 \\times50 \\times \$0.10$

STEP 9

Calculate the total amount of money in dimes.
$Total\, dimes =5 \\times50 \\times \$. = \$25.00$

STEP 10

Plug in the given values for the number of quarter rolls, the number of coins in each roll, and the value of each quarter to calculate the total amount of money in quarters.
$Total\, quarters =6 \\times40 \\times \$0.25$

STEP 11

Calculate the total amount of money in quarters.
$Total\, quarters =6 \\times40 \\times \$0.25 = \$60.00$

STEP 12

Now that we have the total amount of money in each type of coin, we can add these amounts together to find the total amount of money Dione has.
$Total\, money = Total\, pennies + Total\, nickels + Total\, dimes + Total\, quarters$

STEP 13

Plug in the values for the total amount of money in pennies, nickels, dimes, and quarters to calculate the total amount of money.
$Total\, money = \$.50 + \$8.00 + \$25.00 + \$60.00$

STEP 14

Calculate the total amount of money Dione has.
$Total\, money = \$.50 + \$8.00 + \$25.00 + \$60.00 = \$94.50$ ione has $94.50.

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