What value of p makes both equations true: 20×p=60 and 60÷20=p?

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Multiple Choice

What value of p makes both equations true: 20×p=60 and 60÷20=p?

Explanation:
Solving for a variable by undoing multiplication and division. In the first equation, p is multiplied by 20 to equal 60, so isolate p by dividing both sides by 20: p = 60/20 = 3. The second equation says 60 divided by 20 equals p, and 60/20 is 3, so p must be 3 to satisfy it as well. Since both expressions point to the same value, p = 3 makes both true. If you try any other number, at least one equation wouldn’t balance (for example, p = 2 would give 20×2 = 40, not 60).

Solving for a variable by undoing multiplication and division. In the first equation, p is multiplied by 20 to equal 60, so isolate p by dividing both sides by 20: p = 60/20 = 3. The second equation says 60 divided by 20 equals p, and 60/20 is 3, so p must be 3 to satisfy it as well. Since both expressions point to the same value, p = 3 makes both true. If you try any other number, at least one equation wouldn’t balance (for example, p = 2 would give 20×2 = 40, not 60).

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