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To find: Number of nickels in the collection.
![Check Mark](/static/check-mark.png)
Answer to Problem 4P
14 nickels are there in the collection.
Explanation of Solution
Given information:
Collection of 52 dimes and nickels cost $4.50.
Calculations:
Let the number of nickels be x .
And
The number of dimes becomes 52 − x .
Then
Number | Coin Value (in cents) | Total Value (in cents) | |
Dimes | 52 − x | 10 | 520 − 10x |
Nickels | x | 5 | 5x |
Now,
The total value of the coins is $4.50 or 450 cents.
Thus,
We have
That becomes
Subtract 520 from both sides:
Divide the above Eq. by -5:
Thus,
There are 14 nickels in the collection.
Chapter 3 Solutions
Algebra: Structure And Method, Book 1
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