Question

A bag contains only 50 cent coins and $1 bills. The total amount of money in the bag is $36. If there are twice as many 50 cents coins as $1 bills, how many 50 cents coins are in the bag?

Answer 1

36

Explanation:

Answer 2

The total number of 50 cent coins in the bag = 36.

Explanation:

Let x be the number of 50 cents coins and y be the number of $1 bills.

We have been given that the total amount of money in the bag is $36. We can represent this information as:

`0.5x+y=36...(1)`

We are also told that there are twice as many 50 cents coins as $1 bills. We can represent this information as:

`x=2y...(2)`

Now we will use substitution method to solve our given system of equations. Upon substituting equation (2) in equation (1) we will get,

`0.5(2y)+y=36`

`y+y=36`

`2y=36`

`(2y)/(2)=(36)/(2)`

`y=18`

Now let us substitute y=18 in equation (2) to find our x.

`x=2*18`

`x=36`

Therefore, there are 36 fifty cent coins in the bag.