SOLUTION: Miranda has 6 more $5 bills than $10 bills. Altogether she has $135. How many of each bill does she have?

Question 1130368: Miranda has 6 more $5 bills than $10 bills. Altogether she has $135. How many of each bill does she have?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39621) (Show Source): You can put this solution on YOUR website!
x of $10's
x+6 of $5's

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13 of $5
7 of $10
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

If a formal algebraic solution is not required, solve it using logical reasoning.

(1) Count the 6 "extra" $5 bills. That's $30, leaving $105, which now consists of equal numbers of $5 and $10 bills.
(2) One $5 bill and one $10 bill makes $15.
(3) The number of $5 and $10 bills needed to make the remaining $105 is 105/15 = 7.
(4) So, now counting all the bills, there are 7 $10 bills and 7+6 = 13 $5 bills.
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