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Nataly [62]
3 years ago
14

10 girls go to see a chick flick together on a friday night at their local megaplex. they buy x large popcorns and y large fount

ain drinks. together they spend $85 on snacks. they walk into an empty theater that has been recently cleaned. they have the theater to themselves. when they leave, there are 14 things in the garbage. how many large popcorns and how many large fountain drinks did they have?

Mathematics
1 answer:
Natali [406]3 years ago
6 0

Answer:

They had 4 large popcorn and 10 large fountain drinks

Step-by-step explanation:

The picture of the question in the attached figure

I think the price of the large popcorn is $7.50 and the price of the large fountain drink is $5.50 (The picture is not clear)

so

Let

x ----> the number large popcorns

y ----> the number of large fountain drinks

we know that

x+y=14 ----> equation A

7.50x+5.25y=85 ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is the point (4,10)

see the attached figure

therefore

They had 4 large popcorn and 10 large fountain drinks

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can anyone help tech me how to solve for tax and tip. im going to 6th grade and trying to get into the advanced group but I don'
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If something isn't clear or you're still confused about, let me know in the comments.

Step-by-step explanation:

Okay, here's my best try.

Suppose you have a bill for $8.45

If you are asked to add, say, 8% tax, you must calculate 8 percent of 8.45 and then add it to 8.45.

Begin by converting 8% to decimals by dividing by 100.

\frac{8}{100}=0.08 8% is 0.08 in decimal form.

To calculate a percentage of a number, you multiply the decimal percent by the number; example:

0.08(8.45) 8.45 is being multiplied by 0.08. The result is: 0.676. (this is the tax; however you have to round up to two decimal places: $0.68)

After finding the tax amount, if you are asked to add it to the bill, you have to add it to the original bill; in this case, $8.45

This would be: 0.68+8.45=9.13.

Therefore, the total bill after tax is for $9.13

----------------------------------------------------------------------------------------------------

With tips is the same thing, however, you can have 2 situations.

Situation 1: You are asked to calculate 15% tip of total bill.

In this situation, you can do the same we do to calculate tax.

Convert the percentage to decimal by dividing by 100.

\frac{15}{100}=0.15

and multiply it by the original bill.

0.15(8.45)=1.2675. Rounding up, this would be $1.27 for tip.

If you were to add it to the original bill, simply sum.

8.45+1.27=9.72

The total bill after tips is for $9.72

Situation 2: You are asked to calculate 15% tip of the total bill with a tax of 8% included.

In this situation, you must first calculate the total bill with the tax added, like we did above; we got a bill for $9.13 (Tax included)

Then you can calculate 15% tip of this new bill that has tax included.

Convert

\frac{15}{100}=0.15

Multiply by the new bill (because this is the one that includes tax)

0.15(9.13)=1.3695 Round up.... $1.37 for tips.

If you are asked to give a total amount of money including tax and tips, add this to the bill.

9.13+1.37=10.50

This bill would be for $10.50

3 0
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