Question

The ratio x : y is 5 : 1
which of the following statements are true?? :)
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Answer 1

B and C

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According to the given ratio we can conclude that:

• x : y = 5 : 1 ⇒ x = 5y or y = x/5 (1)

Then, we can set equations:

• x + y = 5y + y ⇒ x + y = 6y ⇒ y = (1/6)(x + y) (2)
• x + y = x + x/5 ⇒ x + y = 6x/5 ⇒ x = (5/6)(x + y) (3)

Based on what we have, let's verify the statements:

• A. False as x = 5y from (1)
• B. True as y = (1/6)(x + y) from (2)
• C. True as x = (5/6)(x + y) from (3)
• D. False as y = (1/5)x from (1)

So, the correct statements are B and C.