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Nathan had 5/6 as many pennies as Ryan. Ryan gave five tenths of his pennies to Nathan and had 50 fewer pennies than his friend. How many pennies did Ryan have at first?

 Jun 24, 2022
 #1
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let r = # of pennies ryan has

let n = # of pennies nathan has

n = (5/6)r

r - (5/10)r = n - 50

r - (5/10)r = (5/6)r - 50

.5r = (5/6)r - 50

solve for r, r = 150

 Jun 24, 2022
 #3
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6/5 * 50 = 60

so he actually has 60 pennies

 Jun 24, 2022
 #4
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let's write the equation 

5x/6 + x/10 = x/10 + 50

5 * x/6 = 50

5x/6 = 50

5x/6 * 6 = 50 * 6

5x = 300

x = 60

 Jun 24, 2022

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