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A vendor sells pizza and soft drinks. A customer buys 8 slices of pizza and 6 drinks for $39.50. Another customer buys 5 slices of pizza and 7 drinks for $30.44. Find the cost of a slice of pizza.

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absor201

The cost of one slice of pizza costs $3.61

Step-by-step explanation:

Let,

Slice of pizza = x

Drink = y

According to given statement;

[tex]Multiplying\ Eqn\ 1\ by\ 7\ and\ Eqn\ 2\ by\ 6\\7(8x+6y=39.50)\\56x+42y=276.50 \ \ \ Eqn\ 3\\ 6(5x+7y=30.44)\\30x+42y=182.64 \ \ \ Eqn\ 4\\Subtracting\ Eqn\ 4\ from\ Eqn\ 3\\(56x+42y)-(30x+42y)=276.50-182.64\\56x+42y-30x-42y=93.86\\26x=93.86\\Dividing\ both\ sides\ by\ 26\\\frac{26x}{26}=\frac{93.86}{26}\\x=3.61[/tex]

The cost of one slice of pizza costs $3.61

Keywords: Linear equations, Subtraction

Learn more about linear equations at:

  • brainly.com/question/2860697
  • brainly.com/question/2977815

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