Write an equation as part of solving the problem. The operating speed of a personal computer is 50 gigahertz. This is one-fourth the speed of a newer model. Find the speed of the newer personal computer.

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Answer to a math question Write an equation as part of solving the problem. The operating speed of a personal computer is 50 gigahertz. This is one-fourth the speed of a newer model. Find the speed of the newer personal computer.

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Corbin

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Let's denote the speed of the newer personal computer as $x$ gigahertz. According to the problem, the operating speed of the older personal computer is $50$ gigahertz, and this is one-fourth the speed of the newer model. Mathematically, we can represent this relationship as: \[\frac{1}{4} \times x = 50\] Now, we solve for $x$, the speed of the newer personal computer: \[\frac{1}{4} \times x = 50\] To isolate $x$, we multiply both sides of the equation by $4$: \[x = 4 \times 50\] \[x = 200\] So, the speed of the newer personal computer is $200$ gigahertz.

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