Answered

Which of the following statements are equivelent to the statement "the price decreased by 1/3 of what it was before"?

Choose all the correct answers

A-The price doubled.
B-The price is 150% of the price before.
C-The price was reduced by a quarter of what it was before.
D-The price is 1/2 of what it was before.
E-The price is now 1.5 times greater than what it was before.
F-The price is 66 2/3% of what it was before.
G-The price now is 200% of what it was before.
H-The price is 75% of what it was before.

Please help me



Answer :

mhanifa

Answer:

  • F - The price is 66 2/3% of what it was before.

Step-by-step explanation:

Let the initial price be x.

The price decreased by 1/3 of what it was before:

  • x - 1/3x =
  • x(1 - 1/3) =
  • x(2/3) =
  • 2/3x or 2/3*100%  of x, or 66 2/3 % of x

Looking at the answer choices, the F is the only correct choice, all the rest are wrong.

A-The price doubled.

  • No, price decreased.

B-The price is 150% of the price before.

  • No, price decreased

C-The price was reduced by a quarter of what it was before.

  • No, price reduced by 1/3 not 1/4.

D-The price is 1/2 of what it was before.

  • No, price is 2/3 of what it was before.

E-The price is now 1.5 times greater than what it was before.

  • No, price decreased

F-The price is 66 2/3% of what it was before.

  • YES

G-The price now is 200% of what it was before.

  • No, price decreased

H-The price is 75% of what it was before.

  • No, it is 66 2/3% of what it was before.

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