Answer:
Number of $1 coins are 25 and number of 50 cent coins are 30.
Step-by-step explanation:
Let's set up the equations.
Let there are x number of $1 coins
There are y number of 50 cent coins
So, x+y =55
1 x+0.50 y =40
Solve the equations for x and y.
Solve the first equation for y.
y=55-x
Substitute y as 55-x into the second equation.
1 x+0.50(55-x)=40
Solve the equation for 'x'.
Distribute the 0.50 to get rid the ( ).
1 x+27.5-0.50 x= 40
Combine like terms
0.50 x +27.5=40
Subtract both sides 27.5
0.50 x =12.5
Divide both sides by 0.50
x=25
Now, plug in x as 25
y=55-25
y=30
So, number of $1 coins are 25 and number of 50 cent coins are 30.
