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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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