Question

Medal and fan, please help out!


Question will be posted below vvv

Answer 1

You are ordering a meal and have $15 to spend. The restaurant charges 6% sales tax. You plan to leave a 15% tip. The equation c=x+0.06x+0.15x gives the total cost c of your meal, where x is the cost before tax and tip. What is the maximum amount you can spend before tax and tip?

So, I'll be able to do the math, I'm just not a 100% sure of how to start.

Answer 2

You just have to find x.

Answer 3

It says in the problem that x is the cost before tax and tip, so the set c to 15 and solve for x.

Answer 4

Well I understand that, and I understand how to find it, but I'm just slightly confused by my first step. it'll be clear once I understand it. Mind explaining and getting me on the right track?

Answer 5

Oh, in the calculation?

Answer 6

Yes

Answer 7

I would add up all the xs.
x + 0.06x + 0.15x = 1.21x
so
15 = 1.21x

Answer 8

Oh ok, thank you!! I can take it from here! Hold on and I'll show you what I get.

Answer 9

I got 12.4 (rounded up)

Answer 10

Actually, 12.39
because it should go to cents, and you're looking for the maximum so you shouldn't round up on the cent

Answer 11

oh, ok, thank you!! Could you explain another?

Answer 12

Yeah!

Answer 13

Thanks! One moment, let me type it :)

Answer 14

You have $85 in your bank account. Each week you plan to deposit $8 from your allowance and $15 from your paycheck. The equation b=85+(15+8)w gives the amount b in your bank account after w weeks. How many weeks from now will you have $175 in your bank account?

Again, I can do the math, I just need help getting started.

Answer 15

175 = 85 + (15 + 8)w
If I were you, I would gather like terms. This is one way to do it:
175 - 85 = 23w
90 = 23w

Answer 16

Ok, thanks! Let me finish that one, and i'll check with you.

Answer 17

3.91=w, correct?

Answer 18

yes. I got that too :)
If you don't know how to start, you should add the xs together and the numbers together.

Answer 19

Ok, thanks. So always combine like terms, got it.

Answer 20

One more? This one is different. It's fractions, and I always get myself mixed up with those.

Answer 21

Yeah, I used to hate fractions XD

Answer 22

Haha they are quite a pain.
2/3(c-18)=7

(the 2 is over the 3, the parentheses are next to that)

Answer 23

@Luigi0210 please help me

Answer 24

\(\Large \frac{2}{3} (c-18) =7 \)

\(\Large \frac{2}{3}c - \frac{2}{3}(18) =7 \)

\(\Large \frac{2}{3}c - \frac{2}{1}(6) =7 \)

\(\Large \frac{2}{3}c - (12) =7 \)

\(\Large \frac{2}{3}c =19 \)

\(\Large c= 19* \frac{3}{2} \)