Answer:
c.
Step-by-step explanation:
Move the constant to the right side and the sign
0.5x=26-6
Calculate
0.5x=26-6=20 >>> 0.5x=20
divide both sides of by the equation 0.5
0.5x=20 >>> x=40
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The two problems are almost identical: you have to set up a system, and then solve it.
In the first case, let
and
be, respectively, the number of girls and boys.
We know that
(the number of girls in the Spanish Club is four more than twice the number of boys). Also, we know that
(there are 61 students in total).
So, we have the system

We can use the first equation to substitute in the second

And then solve for
:

For the second problem, let
and
be the number of pins knocked down by, respectively, Carrie and John. Just like before, we have the system
And you can solve it in the very same way we solved the previous one.
This is correct, because it takes 27 minutes to get home so it will probably be about 30 minutes.
120+.5x=50+.7x
Subtract 50 from both sides and then subtract .5x from both sides to get 70=.2x. Then divide both sides by .2 to get x=350.