10 R SAT Math Questions

Discus: SAT/ACT Tests and Test Preparation: April 2004 Archive: 10 R SAT Math Questions
 By Haithman (Haithman) on Thursday, April 08, 2004 - 05:52 pm: Edit

Ok I've got some Math questions that I am sure some of you can help me on. I always Omit one question and get one wrong or miss two and I cant get out of the 740-770 Range.

Sunday, May 1996
Section #1
17.) If y = 1+1/x and x>1, then y could equal

A.) 1/7
B.) 5/7
C.) 9/7
D.) 15/7
E.) 19/7 The Answer is C

Section #3
25.) A barrel contains only apples and oranges. There are twice as many apples as oranges. The apples are either red or yellow, and 4 times as many apples are red as are yellow. IF one piece of fruit is to be drawn at random from the barrel, what is the probability that the piece drawn will be a yellow apple?

The answer is 2/15 or .133

Thank You!

 By Aruben537 (Aruben537) on Thursday, April 08, 2004 - 06:06 pm: Edit

For #25, There is a 2:1 ratio between apples and oranges. One fifth of the apples are yellow.

To allow that to fit the first ratio, multiply it by 5 to get a 10:5 apples:oranges ratio. Out of the total 15 fruits, since one fifth of the 10 apples are yellow, there are 2 yellow, which makes for 2/15 of the total fruit.

Make sense?

 By Daromanian (Daromanian) on Thursday, April 08, 2004 - 06:06 pm: Edit

17. set each of the answers equal to 1+1/x, you see that x turns out to be > 1 only when 1 + 1/x = 9/7, x turns out to be 7/2.

25. chance = 2/3 (chance of being an apple) * 1/5 (chance of the apple being yellow) = 2/15

 By Haithman (Haithman) on Thursday, April 08, 2004 - 06:20 pm: Edit

Wow I feel really stupid especially on the #17 one. Thanks alot! Im still a little confused about the apples one...how are 1/5 of them yellow? Thank You

 By Haithman (Haithman) on Thursday, April 08, 2004 - 06:52 pm: Edit

bump

 By Tanman (Tanman) on Thursday, April 08, 2004 - 06:58 pm: Edit

Quote:

There are twice as many apples as oranges

For every two apples there is one orange so out of the total 3 fruit, 2/3 are apples

Quote:

4 times as many apples are red as are yellow

For every 4 red apples there is 1 yellow apple, so out of five total apples, there is one yellow one.

Therefore, the odds of picking a yellow apple is (2/3)*(1/5) = 2/15

 By Haithman (Haithman) on Thursday, April 08, 2004 - 07:24 pm: Edit

Ah I see! Thanks alot!

 By Eeeeyor (Eeeeyor) on Thursday, April 08, 2004 - 09:44 pm: Edit

i think that its a waste of time to set al the answers equal to 1+1/x. just look at it. you know the answer is greater than one, that eliminates a and b, then you see that if x is greater than 1 than the answer has to be less than two, that eliminates d and e.