A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 12% are pennies and 40% are dimes. There are 5 more nickels than pennies. How much money does the bag contain?
Answers
Answer:
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.