SOLUTION: a student has some $1 and $5 bills in his wallet he has a total of 17 bills that are worth $53 how many of each type of bill does he have

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Question 656933: a student has some $1 and $5 bills in his wallet he has a total of 17 bills that are worth $53 how many of each type of bill does he have
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
Call $1 bills x and $5 bills y. With the given info there are two equations and two unknowns. That's easily solved.


x+y = 17 - that expresses the number of bills.


1x + 5y = 53.


Solve the first for x in terms of y and substitute that into the second.


x = 17 - y


17 - y + 5y =53


17 +4y = 53


4y = 36


y = 9


Substitute that back into the first equation: x + 9 = 17 and then x = 8