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Out of 275 coins, 120 are quarters. Of the remaining coins, 20% are nickels and the rest are dimes and pennies. There are 3 pennies for every dime. How many pennies are there? A. 31 B. 62 C. 93 D. 124
asked
Aug 17, 2017
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Out of 275 coins, 120 are quarters. Of the remaining coins, 20% are nickels and the rest are dimes and pennies. There are 3 pennies for every dime. How many pennies are there?
A. 31
B. 62
C. 93
D. 124
Mathematics
high-school
Fantastic Mr Fox
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2
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1
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Answer:
c
Explanation:
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Duthils
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Aug 19, 2017
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Duthils
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Total number of coins in question = 275
Number of quarters among the total coins = 120
Then
Remaining number of coins = 275 - 120
= 155
Percentage of coins that are nickel = 20%
Then
Number of coins that are nickel = (20/100) * 155
= 155/5
= 31
Remaining number of coins = 155 - 31
= 124
Ratio of dimes to pennies = 1:3
Let us assume the common ratio to be = x
Then
x + 3x = 124
4x = 124
x = 124/4
= 31
So
The number of pennies = 3 * 31
= 93
From the above deduction we can conclude that there are 93 pennies. The correct option among all the options given in the question is option "C".
Eduardo Lino
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Aug 22, 2017
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Eduardo Lino
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