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:
[tex]0.5x+y=36...(1)[/tex]
We are also told that there are twice as many 50 cents coins as $1 bills. We can represent this information as:
[tex]x=2y...(2)[/tex]
Now we will use substitution method to solve our given system of equations. Upon substituting equation (2) in equation (1) we will get,
[tex]0.5(2y)+y=36[/tex]
[tex]y+y=36[/tex]
[tex]2y=36[/tex]
[tex]\frac{2y}{2}=\frac{36}{2}[/tex]
[tex]y=18[/tex]
Now let us substitute y=18 in equation (2) to find our x.
[tex]x=2*18[/tex]
[tex]x=36[/tex]
Therefore, there are 36 fifty cent coins in the bag.
