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erma4kov [3.2K]
3 years ago
13

If 2 sodas and 3 hot dogs are $17 while 5 sodas and 6 hot dogs are $38.75 - how much are each separately?

Mathematics
1 answer:
Bond [772]3 years ago
7 0

The cost of soda is $4.75 and the cost of hot dog is $2.5

<u>Step-by-step explanation</u>:

<u>Let us assume :</u>

  • The cost of soda be 'x'.
  • The cost of hot dog be 'y'.

<u>Given that,</u>

The cost of 2 sodas and 3 hot dogs are $17.

⇒ 2x + 3y = 17  ------(1)

The cost of 5 sodas and 6 hot dogs are $38.75

⇒ 5x + 6y = 38.75  -------(2)

<u>Solving the equations to find x and y values :</u>

Multiply eq(1) by 2 and subtract eq(2) from eq(1),

 4x + 6y = 34

-(<u>5x + 6y = 38.75</u>)

 <u>-x         = -4.75 </u>

The value of x = 4.75

The cost of soda is $4.75

Substitute x=4.75 in eq(1),

2(4.75) + 3y = 17

3y = 17 - 9.5

3y = 7.5

y = 7.5/3

y = 2.5

The cost of hot dog is $2.5

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Step-by-step explanation:

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How many times does 9 go int 67
AnnZ [28]


°° Awesome question!

I'll show you how to solve this kind of question:

First, you can multiply 9 times any number to see if it's smaller than 67. If it is, it is OK to keep multiplying 9 by more numbers. Let's try this!

9 × 1 obviously equals 9, so we can keep going up.

9 × 2 = 18. Not quite there yet!

Sometimes it is OK for you to skip some numbers, Watch:

9 × 5 = 45. We can keep going. At this point you don't need to go backwards and do 9 × 3 or 9 × 4, because the products will only get farther away from 67.

9 × 6 = 54. We're getting closer!

Let's try to skip one number:

9 × 8 = 72 - HOLD UP! Oh no! We went over a little too much!

Let's try a number in between 6 and 8 - That would be 7, right?

9 × 7 = 63 - We were right on point! Obviously you can't multiply 9 by 8 again because you would get a bigger number - the 72.

__________________________________________________________

That was just one way to go about it, but there's another way, too!

You can divide 9 by 67 and see what you get. You may have a remainder, but you can just throw that out the window when we're all done:

9 ÷ 67 = 7.4444444444444444 The 4 just repeats on and on again, and we don't want that. So just throw those 4's out the window so you're left with 7.

Based on all this work, 9 goes into 67 7 times.

↑   ↑   ↑  Hope this helps! :D

4 0
3 years ago
Read 2 more answers
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