SOLUTION: I'm studying for an assessment test and this is not a good start. I'm now feeling anxiety that I will fail both answering and completing the test on-time; I don't normally do well

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Question 951196: I'm studying for an assessment test and this is not a good start. I'm now feeling anxiety that I will fail both answering and completing the test on-time; I don't normally do well on timed tests. Up to this moment I thought I had a successful career now I'm thinking the results will measure my ability to manage; all this after a 30 year career. I tend to over think questions and situations. The test that I need to take is for Numeric Reasoning. It's a timed test; 20 minutes for 18 questions. I appreciate any tips.
I'm having trouble understanding how the answer was derived for the following question.
If Andrew's department receives 6 new computers, they will have 1/2 as many as if they had received 24 new computers.
Q: How many computers does Andrew's department have prior to receiving any new one's?
Thanks, BVF


Found 2 solutions by edjones, MathLover1:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the number of computers that the office had prior to receiving any new ones.
x+6=(x+24)/2
2x+12=x+24
x=12
.
Ed
.
====================================================== TEXT FOLLOWS
Thanks Ed I appreciate your response.
That's how I set up the equation with the exception of adding x to the right side. My set up included the following:
x+6=1/2*24
Q: why is x added to the right side?
.
Because the problem states that you must add 24 to the original number of computers and the original number is x

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

If Andrew's department receives 6+ new computers, they will have 1%2F2 as many as if they had received 24 new computers.
Q: How many computers does Andrew's department have prior to receiving any new one's?
prior to receiving any new one's there was x computers
if department receives 6+ new computers that will be x%2B6
if they had received 24, that will be x%2B24
and x%2B6 will be 1%2F2 of x%2B24
so, we can write an equation as following: x%2B6=%281%2F2%29%28x%2B24%29
now solve for x
2%28x%2B6%29=cross%282%29%281%2Fcross%282%29%29%28x%2B24%29
2x%2B12=x%2B24
2x-x=24-12
x=12
prior to receiving Andrew's department have 12 computers

check:
have 12, receive 6=> total: 18
have 12, receive 24=> total: 36
as you can see 18=%281%2F2%2936