Therefore, the only statement that is equivalent to "the price decreased by [tex]\frac{1}{3}[/tex]" is:
F. The price is now 66, 2/3% of what it was before
Given that the original price of something decreased by 1/3, it means:
the original price is reduced by one-third.
- One-third is not equal to half of the price.
- 1/3 of the original price would be [tex]\frac{1}{3} \times 100 =[/tex] 33.3% less of the original price.
- This means that the new price would be: 100 - 33 = 66% of the original price. This shows a reduction in price. The price would drop.
- 1/3 is more than a quarter (1/4).
Any option showing or suggesting an increase is definitely the wrong answer.
Therefore, the only statement that is equivalent to "the price decreased by [tex]\frac{1}{3}[/tex]" are:
F. The price is now 66, 2/3% of what it was before
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