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Math Question - Value of Two Coins

by Gwen Wilson
(Arlinton TX )











































Word Problem

The value of an uncirculated ‘Mint State-65’ 1950 Jefferson nickel minted in Denver is 3/2 the value a 1945 nickel minted in Philadelphia in similar condition. Together the total value of the two coins is $20. What is the value of each coin?

Comments for Math Question - Value of Two Coins

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Apr 05, 2013
Coin Problem
by: Staff


Answer

Part I


x = value of a 1945 nickel minted in Philadelphia

y = value of an uncirculated ‘Mint State-65’ 1950 Jefferson nickel minted in Denver

The value of an uncirculated ‘Mint State-65’ 1950 Jefferson nickel minted in Denver is 3/2 the value a 1945 nickel minted in Philadelphia in similar condition.

The value of an uncirculated ‘Mint State-65’ 1950 Jefferson nickel minted in Denver is 3/2 the value a 1945 nickel minted in Philadelphia in similar condition




Together the total value of the two coins is $20

Together the total value of the two coins is $20





There are two equations with two unknowns:

Coin Value:  solve two equations for two unknowns





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Apr 05, 2013
Coin Problem
by: Staff

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Part II

Use substitution to solve for x and y.

Since y = (3/2)x, substitute (3/2)x for y in the second equation.

Substitute (3/2)x for y in the second equation.





solve the last equation for x

multiply each side of the equation by 2

Multiply each side of the last equation by 2





Expand the expression on the left side of the equation using the distributive law. This will eliminate the parentheses and the fraction.

Use the distributive property to simplify the left side of the equation.  This will eliminate the parentheses and the fraction.





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Apr 05, 2013
Coin Problem
by: Staff


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Part III

Combine like terms

Combine like terms 2x + 3x





Divide each side of the equation by 5

Divide each side of the equation by 5




solve for y

substitute $8 for the value of x in the first equation, and then evaluate the numerical expression

Substitute $8 for the value of x in the first equation, and then evaluate the numerical expression





Final Answer:
Math - Philadelphia-nickel is worth $8 - Denver nickel is worth $12








Thanks for writing.

Staff
www.solving-math-problems.com



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