SOLUTION: 1. the number of boys attending union high school is twice the number of girls. If 1/6 of the girls and 1/4 of the boys play soccer, what fraction of the students at union play soc

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Question 971905: 1. the number of boys attending union high school is twice the number of girls. If 1/6 of the girls and 1/4 of the boys play soccer, what fraction of the students at union play soccer?
2. If m and n are both negative numbers, m is less than -1, and n is greater than -1, what is the value of the product mn?
3. A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 9s are wrong and the other digits are correct, then the correct answer would be?
4. A's marks in Biology are 20 less than 25% of the total marks obtained by him in Biology, maths and drawing. If the marks in drawing be 50, what are his marks in maths?
5. The price of an article was increased by r% and later the new was decreased by r%. If the latest price was Rs. 1, then the original price was?
6. An article was sold for Rs 144. If the percentage of profit was numerically equal to the cost price, the cost of the article was.....
7. If 5x^2 - 13xy+6y^2 = 0, then x:y is .....
8. If 36 men can do a piece of work in 25 hrs, how many hours will 15 men do the same work?
9. 2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days.In how many days can 2 men and 1 boy do the work?
10. Two pipes A and B can fill a tank in 36 hrs and 45 hrs respectively. If both pipes are opened simultaneously, how much time will be taken to fill the tank?
11. A sum of Rs 1550 is lent out into two parts, one at 8% and the other at 6%, if the total amount annual income is Rs 106, find the money lent at each rate..
12. log 360 is equal to.....
13. A box contains 5 green, 4 yellow and 3 white marbles, three marbles are drawn at random, what is th probability that they are not of the same colour?

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
1.girls + x ; boys =2x (2x/4) play soccer (boys) (x/6) girls.
2/3 of students are boys and half play soccer. That is 1/3
1/3 of students are girls and 1/6 play soccer. That is 1/18. The fraction is 7/18.
2. The product is positive and lies on the interval (1,infinity). That occurs when m approaches minus infinity and n approaches -1. It is 1 when m approaches -1 from the left and n from the right.
3.The sum of the digits has to be evenly divisible by 6. Twenty-four doesn't work, but thirty does work and 555681 works if he multiplies by 563
12. Log 360= log 36 + log 10=1.55+1=2.55
13. green first then (7/11)*(3/10=21/110
yellow first then (5/11)(3/10)=15/110
white first then (5/11)(4/10)=20/110
The probability is 56/110
11. x = loan 1 1550-x=loan 2
.08x + .06 (1550-x)= 106
.08x +93-.06x=106
.02x=13
x=650 1550-650=900
income is 650@8%=52 other is 900@6%=54
10. in 1 hr. (1/36) filled (1/45) filled ;
(x/36) +(x/45) =1
Multiply through by 1620.
45x +36 x=1620=81x
x=20 hours.
Will stop there as time has run out.

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