1) 5/9 of the student are girls
3/5 of the girls own a bike
3/4 of the boys own a bike
What is the fraction of the student in the school that owns a bike?
2) A bag contains red , white and blue beads
5/12 are red
3/8 are white
Work out the smallest possible number of beads that the bag could contain
3) Lian bought 450 shirts to sell in her shop
She paid 10 pounds for each shirt
She sold 7/9 of the 450 shirts
for 18 pounds each
Later she reduced the for each shirt for 1/3
she sold the remaining shirt for this price
Calculate her profit
Express her total profit as a fraction of the amount she paid.
4) contestant go from the first round to the second round by answer right a question. they will be asked another question if they get the first one wrong. If the answer both of the questions incorrectly they will be eliminated. The possibility that they answer the question right is 0.6. At the start there are 15 contestants. How many will be eliminated? Hi,
1) 5/9 of the student are girls
3/5 of the girls own a bike
3/4 of the boys own a bike
What is the fraction of the student in the school that owns a bike?
Girls are 5/9 of school and 3/5 of them own bikes.
5/9 x 3/5 = 1/3 of total students are girls with bikes.
Boys are 4/9 of school and 3/4 of them own bikes.
4/9 x 3/4 = 1/3 of total students are boys with bikes.
So 2/3 of the students at the school own bikes. <== ANSWER
2) A bag contains red , white and blue beads
5/12 are red
3/8 are white
Work out the smallest possible number of beads that the bag could contain
The denominators of 12 and 8 must both divide evenly into the number of marbles. The LCM of 12 and 8 is 24, so there must be at least 24 marbles. <== ANSWER
3) Lian bought 450 shirts to sell in her shop
She paid 10 pounds for each shirt
She paid 450 x 10 = 4500 pounds for the shirts.
She sold 7/9 of the 450 shirts
for 18 pounds each
7/9 of 450 is 350, so she sold 350 shirts at 18 pounds each. 350 x 18 = 6300 pounds
Later she reduced the for each shirt for 1/3
she sold the remaining shirt for this price
2/9 of 450 or 2/9 x 450 = 100 remaining shirts
100 x 12 = 1200 pounds
Calculate her profit
6300 + 1200 = 7500 pounds total income
7500 - 4500 = 3000 profit <== ANSWER
Express her total profit as a fraction of the amount she paid.
3000/4500 = 2/3
Her profit was equal to 2/3 of the price she paid for the shirts. <== ANSWER
4) contestant go from the first round to the second round by answer right a question. they will be asked another question if they get the first one wrong. If the answer both of the questions incorrectly they will be eliminated. The possibility that they answer the question right is 0.6. At the start there are 15 contestants. How many will be eliminated?
In the first round 60% will get the first question correct. 60% of 15 means those 9 move on. Of the remaining 6 who get a second question, 60% of them should also move on. Rounded off 60% of 6 is 3.6 or another 4 contestants move on. Only 2 have been eliminated out of 15.
I hope that helps!! :-) answer to your first ques
let total stud be x,now no of girls =(5/9)x
no of girls having bike =(5/9)*(3/5)*x=(x/3)
no of boys =x-(5x/9)=4x/3
no of boys having bike=(4x/3)*(3/4)=x/3
total students having bike=(x/3)+(x/3)=2x/3
hence ratio=2/3 1. ((5/9*3/5) + (4/9*3/4)) x = 2/3 x
2. 1 - 5/12 - 3/8 = 5/24
the smallest possible number of beads that the bag could contain = 24
3. profit = 450 * 7/9 * (18-10) = 2800
loss = 450 * 2/9 * (10-6) = 400
total profit= 2400
4.
probability first answer wrong= 0.5
probability second answer wrong = 0.5
probablity both of the answer wrong = 0.5*0.5
the probability of contestant to be eliminated = (0.5 * 0.5) * 0.6 = 0.15
only 1 person will be eliminated | 