Question

PLEASE HELP
A bag contains​ pennies, nickels,​ dimes, and quarters. There are 50 coins in all. Of the​ coins, 14​% are pennies and ​32% are dimes. There are 2 more nickels than pennies. How much money does the bag​ contain?

Answer 1

Answer:

5.26 dollars

Step-by-step explanation:

Given :

A bag contains 50 coins

To find :

Total amount of the coins bag contains.

Solution:

According to the given statement, a bag contains 50 coins.

Number of pennies = 12% of 50

                               = 0.12 × 50

                               = 6 pennies

Number of dimes  = 40% of 50

                             = 0.40 × 50

                             = 20 dimes

Number of nickles = 8 more than pennies

                              = 8 + 6

                             = 14 nickles

Number of quarters = Rest of the coins

                               = 50 -(6 + 20 + 14)

                               = 50 - 40

                              = 10 quarters

Since,

1 penny = 0.01 dollar

6 pennies = 0.01 × 6 = 0.06 dollar

1 dime = 0.10 dollar

20 dimes = 0.10 × 20 = 2.00 dollar

1 nickel = 0.05 dollar

14 nickel = 0.05 × 14 = 0.70 dollar

1 quarter = 0.25 dollar

10 quarter = 0.25 × 10 = 2.50 dollars

Total value of the coins in the bag = 0.06 + 2.00 + 0.70 + 2.50

                                                        = 5.26 dollars

The bag contains 5.26 dollars.

Hope it helps

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