Problema Solution

Part of the proceeds form a garage sale was $280 worth of $5 and $10 bills. If there were 20 more $5 bills than $10 bills. Find the number of each

Answer provided by our tutors

let


x = the number of $5 bills

y = the number of $10 bills


there were 20 more $5 bills than $10 bills


x = y + 20


the garage sale was $280 worth


5x + 10y = 280 divide both sides by 5


x + 2y = 56


by solving the system of equations


x = y + 20

x + 2y = 56


we find


x = 32 bills of $5


y = 12 bills of $10


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there are 32 bills of $5 and 12 bills of $10.