You are given $893 in one, five, and ten dollar bills. There are 165 bills. There are twice as many five dollar bills as there are ones and tens combined. How many bills of each type are there?

Given:

You are given $893 in one, five, and ten dollar bills.

There are 165 bills.

There are twice as many five dollar bills as there are ones and tens combined.

To find:

How many bills of each type are there?

Solution:

Consider the number of bills of one dollars, five dollars and ten dollars are x, y and z respectively.

According to the question,

Number of bills :         ...(1)

Total amount :         ...(2)

Condition :     ...(3)

Equation (3) can be written as

      ...(4)

Substituting in (1), we get

Substituting y=110 in (4), we get

      ...(5)

Substituting y=110 and x=55-z in (2), we get

Dividing both sides by 9, we get

Substituting z=32 in (5), we get

Therefore,

One dollar bills = 23

Five dollars bills= 110

Ten dollars bills = 32

$12. that is my answer.

1; 35 is the ratio

step-by-step explanation: