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A certain purse contains 30 coins, Each coin is either a nickel or a quarter. If the total value of all coins in the purse is 4.70$, how many nickels does the purse contain?The value of each nickel is $0.05,
- a)12
- b)14
- c)16
- d)20
- e)22
Correct answer is option 'B'. Can you explain this answer?
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A certain purse contains 30 coins, Each coin is either a nickel or a q...
Let's assume the number of nickels in the purse is 'n'. Since we know there are a total of 30 coins, the number of quarters can be calculated as '30 - n'.
The value of each nickel is $0.05, and the value of each quarter is $0.25. We can set up an equation based on the total value of the coins:
0.05n + 0.25(30 - n) = 4.70
Simplifying the equation:
0.05n + 7.5 - 0.25n = 4.70
Combining like terms:
-0.20n = 4.70 - 7.5
-0.20n = -2.80
Dividing both sides by -0.20:
n = -2.80 / -0.20
n = 14
Therefore, the purse contains 14 nickels, which corresponds to option B.
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A certain purse contains 30 coins, Each coin is either a nickel or a quarter. If the total value of all coins in the purse is 4.70$, how many nickels does the purse contain?The value of each nickel is $0.05,a)12b)14c)16d)20e)22Correct answer is option 'B'. Can you explain this answer?
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