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Write the number of the word problem that match the system of equations illustrated:
Marcus and his friend are having a final four party. Marcus buys 5 burgers and 9 sodas for $28.75 at the beefy burger joint. When five more of his friends show up he heads back to beefy burger for 10 more burgers and 10 more sofas and spends $47.50

Respuesta :

OmegaAzzy

5b + 9s = 28.75

10b + 10s = 47.5

Multiply all terms in equation #1 by 2.

10b + 18s = 57.5

Subtract both equations from each-other.

8s = 10

Divide both sides by 8.

s = 1.25

The cost of a soda is 1.25, and because we know this, we can plug it into either equation to solve for the cost of b, a burger.

5b + 9(1.25) = 28.75

5b + 11.25 = 28.75

Subtract 11.25 from both sides.

5b = 17.5

Divide both sides by 5.

b = 3.5

The price of a soda is $1.25.

The price of a burger is $3.5.

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