Problema Solution

alice is counting a cash register at the end of the night. he has $1015 in $5 bills and $10 bills. if she has 138 bills all together, howmany of each type does she have?

Answer provided by our tutors

let


x = the number of $5 bills


y = the number of $10 bills


he has $1015 in $5 bills and $10 bills:


5x + 10y = 1015


she has 138 bills all together:


x + y = 138


by solving the system of equations:


5x + 10y = 1015


x + y = 138


we find:


x = 73 bills


y = 65 bills


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Alice has 73 bills of $5 and 65 bills of $10.