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

Answer:

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

Step-by-step 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,

$0.5(2y)+y=36$

$y+y=36$

$2y=36$

$\frac{2y}{2}=\frac{36}{2}$

$y=18$

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.