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## Main Question or Discussion Point

How do you write "twice as many x as z" algebraically?

Is this 2x=z or x=2z? How do you know?

How about "3/4 as many x as z" algebraically?

Is this (3/4)x=z or z=(3/4)x? How do you know?

An applied example:

There are twice as many apples as there are oranges, so does this mean for each orange there are 2 apples, so that if apples=x and oranges=y, then y=2x; 2y=4x, and etc?

Are these statements ambiguous to you?

Is this 2x=z or x=2z? How do you know?

How about "3/4 as many x as z" algebraically?

Is this (3/4)x=z or z=(3/4)x? How do you know?

An applied example:

There are twice as many apples as there are oranges, so does this mean for each orange there are 2 apples, so that if apples=x and oranges=y, then y=2x; 2y=4x, and etc?

Are these statements ambiguous to you?

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