Solve the problem by stating the equation you would use to solve and then solving it. Be sure to show all of your work.
After spending $3850 for tables and $1750 for chairs, a convention center manager finds that 30% of his original budget remains. Find the amount that remains. Round to the nearest dollar.

Question

anonymous · Answer

i think its this: 3850 + 1750 • 30% = x but I am not sure.

dumbcow · Answer

If 30% remains, then he spent 70% on tables and chairs

0.7x = 3850 + 1750

anonymous · Answer

so is 8,000 my answer?

anonymous · Answer

lol I still don't know what im doing

dumbcow · Answer

sorry, no 8000 would be the budget, its asking for what the 30% remaining is so just find 30% of 8000

anonymous · Answer

oh ok so the original set up you gave me will give me the budget amount which is 8,000 and then my final answer is 30% of that?

dumbcow · Answer

exactly

anonymous · Answer

I guess my issue is that I need to set up the equation to just give me the 30% I don't know think my instructor will accept 2 equations. Thanks for your response!

dumbcow · Answer

why does it matter as long as you solve the problem?
you could just substitute one equation into the other

x = (3850+1750)/0.7

30% budget = (0.3/0.7)*(3850+1750)

anonymous · Answer

that works thank you

anonymous · Answer

$$0.3\left(\frac{3850 + 1750}{1-0.3}\right)=\text{$\$$2400} $$

anonymous · Answer

oh wow thanks this set up look better to me but how did you get 2400?

anonymous · Answer

Original budget amount was:$$\left(\frac{3850 + 1750}{1-0.3}\right)=\left(\frac{3850 + 1750}{0.7}\right)=8000 $$$$30\% \text{ of } 8000=\frac{30}{100}8000=2400$$

anonymous · Answer

Thank you for the medal.

anonymous · Answer

no problem

anonymous · Answer

thank you for the help robtobey and you too dumbcow