SOLUTION: How to solve problems like: Yoshi has exactly one dollar in dimes and nickels. If Yoshi has twice as many dimes as nickels, how many nickels does she have? I would like to learn h

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Question 704007: How to solve problems like: Yoshi has exactly one dollar in dimes and nickels. If Yoshi has twice as many dimes as nickels, how many nickels does she have?
I would like to learn how to solve these type of problems algebraically.

Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
x = number of nickels
2x = number of dimes {twice as many dimes as nickels}
5x + 10(2x) = 100 {value of coin times number of coins equals total value}
5x + 20x = 100 {multiplied}
25x = 100 {combined like terms}
x = 4 {divided each side by 25}
2x = 8 {substituted 4, in for x, into 2x}

4 nickels and 8 dimes

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