After paying mom, you find that you have 13 bills. The number of ten dollar bills you have is twice the number of five dollar bills. The number of one dollar bills is two less than six times as many ten dollar bills. Find the number of each bill that you have. Write an equation to solve it.
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if 15 f = 15
I assume you can find f, the number of five dollar bills
X $5 bills.
2x $10 bills.
12x-2 $1 bills.
x + 2x + (12x-2) = 13.
X = 1.
2x = 2.
12x-2 = 12-2 = 10.
To solve this problem, let's assign variables to the unknowns.
Let's say:
The number of five dollar bills = x
The number of ten dollar bills = 2x (since it is twice the number of five dollar bills)
The number of one dollar bills = 6(2x) - 2 (since it is two less than six times as many ten dollar bills)
We can set up an equation using the information given in the problem.
The total number of bills is 13, so we can write:
x + 2x + 6(2x) - 2 = 13
We can simplify and solve this equation:
x + 2x + 12x - 2 = 13
15x - 2 = 13
15x = 13 + 2
15x = 15
x = 15/15
x = 1
So, the number of five dollar bills is 1.
The number of ten dollar bills is 2(1) = 2.
The number of one dollar bills is 6(2) - 2 = 10.
Therefore, you have 1 five dollar bill, 2 ten dollar bills, and 10 one dollar bills.