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Matt and his friends paid $30 for each 4 sandwiches and 4 bottles of water. Each sandwich costs the same amount. The bottle of water cost $2 each. The equation 4 (x+2)=30 can be used to determine x, the cost of each sandwich. Matt solved the equation using the following 4 (x+2)=30 4x+2=30 4x=28 x=7. Therefore, Matt calculates the cost of each sandwich as $7. did Matt solve the equation correctly?

Verified Answer :

bcalle

No he did not. He failed to distribute the 4 throughout the parenthesis.
4(x+2)=30
4x + 8 = 30
4x = 22
x= 5.50

Matt's calculation is incorrect because 4 is not distributed properly.

Important information:

  • Number of sandwiches = 4
  • Number of water bottles = 4
  • Cost of each bottle = $2
  • Total cost = $30
  • The given equation is \(4(x+2)=30\).

Equation:

The given equation can be written as:

\(4(x)+4(2)=30\)

\(4x+8=30\)

After subtract 8 from both sides, we get

\(4x=22\)

Divide both sides by 4.

\(x=\dfrac{22}{4}\)

\(x=5.5\)

The cost of each bottle is $5.5.

Matt's calculation is incorrect because 4 is not distributed properly.

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https://brainly.com/question/1157155

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