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Coin Value Comparison - 1950 Jefferson Nickle vs 1945 Nickle










































The value of an uncirculated 'Mint State-65' 1950 Jerfferson nickle minted in Denver is 8/5 the value a 1945 nickel minted in Philadelphia in similar condition. Together the total value of the two coins is $65. what is the value of each coin?

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Jun 11, 2012
Coin Value Comparison
by: Staff


Answer:

x = value of an uncirculated 'Mint State-65' 1950 Jefferson nickel minted in Denver

y = value of a 1945 nickel minted in Philadelphia

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Two equations – two unknowns

Together the total value of the two coins is $65.

1st equation: x + y = 65

The value of an uncirculated 'Mint State-65' 1950 Jefferson nickel minted in Denver is 8/5 the value a 1945 nickel minted in Philadelphia

2nd equation: x = (8/5)*y


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x + y = 65

x = (8/5)*y


Replace the x in the 1st equation with (8/5)*y

(8/5)*y + y = 65


Solve for y

(8/5)*y + y = 65


Multiply each side of the equation by 5

5 * [(8/5)*y + y] = 5 * 65


The distributive law to remove the parentheses on the left side of the equation

5 * (8/5)*y + 5 * y = 5 * 65

8 * (5/5)*y + 5 * y = 5 * 65

8 * (1)*y + 5 * y = 5 * 65

8 * y + 5 * y = 5 * 65

8y + 5y = 325


Combine like terms

13y = 325


Divide each side of the equation by 13

13y / 13 = 325 / 13

y * (13 / 13) = (325 / 13)

y * (1) = (325 / 13)

y = (325 / 13)

y = 25


Calculate x by replacing y in the 2nd equation with 25

x = (8/5)*y

x = (8/5)*25

x = 40


>>> the final answer is:

x = $40

y = $25



Thanks for writing.

Staff
www.solving-math-problems.com



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