Write a simplified algebraic equation for each problem.then,solve the equation.

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Write a simplified algebraic equation for each problem.then,solve the equation.​

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ANSWERS:

For Number One.

  • Simplified Algebraic Equation

> Let x be the number of women. Thus, the number of men is x + 6. The equation will be   \tt x + x + 6 = 30 or  \tt 2x + 6 = 30.

\huge{\boxed{\large\begin{array}{l} \tt 2x + 6 = 30 \\  \tt 2x = 30 - 6 \\  \tt 2x = 24 \\  \tt x = 24 \div 2 \\  \tt x = 12\end{array}}}

> There are  \tt \red{12} women and  \tt 12 + 6 = \red{18} men.

For Number Two.

  • Simplified Algebraic Equation

> Let  \tt x be the number of votes Jhervil received. Thus, the number of votes Josh got is  \tt x - 4 and Prince had  \tt (x -4) +16 votes. The equation will be  \tt x + x - 4 + x - 4 + 16 = 77 or \tt 3x + 8 = 77.

\huge{\boxed{\large\begin{array}{l} \tt 3x + 8 = 77 \\  \tt 3x = 77 - 8 \\  \tt 3x = 69 \\  \tt x = 69 \div 3 \\  \tt x = 23\end{array}}}

> Jhervil got  \tt \red{23} votes while Josh got  \tt 23 - 4 = \red{19} votes and Prince got   \tt 19 +1 6 = \red{35} votes.


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