Samwong wrote:

I'm a little confused about the word translation of a question in Quantitaive Review 2nd ed DS #71 Statement 1: "If Betty's average speed for the trip had been 1 1/2 times as fast, the trip would have taken 2 hours." According to the answer at the back of the book, "1 1/2 time" means that Betty's hypothetical speed is "(3/2)x". X=Betty's orginal speed.

1) The number of apples that Jon has is 1 1/2 times GREATER THAN or MORE THAN that of Mike. In this case, the translation is "1 1/2 + 1 = (5/2)M". M=the number of apples that Mike has.

2) Jenny has 1 1/2 times AS MANY oranges AS Lindsey has. Let L=number of oranges that Lindsey has. In this case, is the translation (3/2)L or (5/2)L ?

Thanks.

"times as many as" is simply the product. So '1.5 times as many oranges as' means (3/2)L.

"times more than" is a little ambiguous in the sense that many people would say "he has two times more oranges than her" if he has 2L oranges. Technically, that's not correct since two times more should mean 2L extra i.e. total 3L.

A 100% increase means 2x and 200% increase means 3x.

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