Calculate P(A or B) where A and B are mutually exclusive events and P(A) = 1 and P(B) =
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So for this there is going to be two equations; One showing how much they earned total and one showing how much more Garth made.
Let x mean how much Sandi made and y mean how much Garth made.
The first equation is going to be
The second equation is going to be
.
I'll be using the substitution method since that is already set up for it. So in the first equation substitute y for x+25 since the second equation tells us that is the equivalent to y.
And your equation should look like this:
. From here you can solve for x.
Combine like terms to get
Subtract 25 on each side to get
Divide 2 on each side to get
Now that we had got what Sandi had earned, we can substitute x for 200 in either equation to solve for y. I'll be solving for y in the second equation.
To sum it up, Sandi earned $200 and Garth earned $225.
Let x mean how much Sandi made and y mean how much Garth made.
The first equation is going to be
The second equation is going to be
I'll be using the substitution method since that is already set up for it. So in the first equation substitute y for x+25 since the second equation tells us that is the equivalent to y.
And your equation should look like this:
Combine like terms to get
Subtract 25 on each side to get
Divide 2 on each side to get
Now that we had got what Sandi had earned, we can substitute x for 200 in either equation to solve for y. I'll be solving for y in the second equation.
To sum it up, Sandi earned $200 and Garth earned $225.