For this problem, we can use systems of equations. I will use the variables <em>x </em> (for ice-cream) and <em>y</em> (for soda). We get the system:
2.25x+0.75y=30.00 x+y=18
Putting the second equation in terms of y, we get that y=-x+18. We can substitute this into our first equation.
2.25x+0.75y=30.00 becomes 2.25x+0.75(-x+18)=30
Solving for x, we get that x=11. This satisfies answer B.
However, if you want to check to see if this is correct, you could find y by plugging in your value of x into the first equation, then check to see if your found values satisfy BOTH equations.
2.25(11)+0.75y=30 24.75+0.75y=30 0.75y=5.25 y=7
Then we plug this into both equations to see if they are true.
2.25(11)+0.75(7)=30 24.75+5.25=30 30=30 (This is true)
x+y=18 11+7=18 18=18 (This is true).
Both equations are true, so the value for x and y are correct. We see that only answer B is supported through analyzing your work.
<em>You see when it comes to cm2 inches and lengths You must always Analyze your work and figure out if you can seperate the two among themselves equally. 81 Goes into 144. 63 plus equation.</em>