A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 14% are pennies and 30% are dimes. There are 7 more nickels than pennies. How much money does the bag contain?
Answers
Answer:
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 = 14% of 50
= 0.14 × 50
= 7 pennies
Number of dimes = 30% of 50
= 0.30 × 50
= 15 dimes
Number of nickles = 7 more than pennies
= 7 + 7
= 14 nickles
Number of quarters = Rest of the coins
= 50 -(7 + 15 + 14)
= 50 - 36
= 14 quarters
Since,
1 penny = 0.01 dollar
7 pennies = 0.01 × 7 = 0.07 dollar
1 dime = 0.10 dollar
15 dimes = 0.10 × 15 = 1.50 dollar
1 nickel = 0.05 dollar
14 nickel = 0.05 × 14 = 0.70 dollar
1 quarter = 0.25 dollar
14 quarter = 0.25 × 14 = 3.50 dollars
Total value of the coins in the bag = 0.07 + 1.50 + 0.70 + 3.50
= 5.26 dollars
The bag contains 5.77 dollars.
Answer:
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