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enot [183]
3 years ago
10

The sum of three consecutive even integers is 54. Find all three integers.

Mathematics
1 answer:
matrenka [14]3 years ago
6 0
A good way to find the answer to these questions is to find it algebraically. Let's call the first number 'n'. 
n + (n + 2) + (n + 4) = 54
3n + 6 = 54
3n = 48
n = 16
Therefore the numbers are 16, 18, 20

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Eric has 183 coins all of them are nickels and dimes. If the total value of the coins is 14.45, how many of each denomination co
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Answer:

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Step-by-step explanation:

Let there be n nickes and d dimes

Since there are 183 coins, we can write:

n + d = 183

Also, the value of nickel is 0.05 and dime is 0.1, total value is 14.45, so we can write:

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Solving 1st equation for n, we have:

n = 183 - d

Putting this into 2nd equation and solving for d:

0.05n + 0.1d = 14.45\\0.05(183-d) + 0.1d = 14.45\\9.15-0.05d+0.1d=14.45\\0.05d=5.3\\d=106

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Since, n = 183 - d

n = 183 - 106

n = 77

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