# 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

 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. Together the total value of the two coins is \$20 There are two equations with two unknowns: ---------------------------------------------------------

 Apr 05, 2013 Coin Problem by: Staff ---------------------------------------------------------Part IIUse substitution to solve for x and y.Since y = (3/2)x, substitute (3/2)x for y in the second equation. solve the last equation for xmultiply each side of the 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. ---------------------------------------------------------

 Apr 05, 2013 Coin Problem by: Staff --------------------------------------------------------- Part III Combine like terms 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 Final Answer: Thanks for writing. Staff www.solving-math-problems.com