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 By: sweetphone123 (offline)  Sunday, August 28 2011 @ 05:30 AM CDT (Read 2022 times)
sweetphone123

Q6) Mre Gopal and Mrs Ari went to the supermarket. Both women decided to spend all their money on either apples or pears and they would not buy the same fruit.
If Mrs Gopal bought only pears, she would have 9 more fruit than Mrs Ari.
If she bought only apples, she would have 41 more fruit thn Mrs Ari.
How much more money has Mrs Gopal than Mrs Ari?
Ans:\$12
Does anyone know how to solve this question ? Thanks.

Q16) Tom and Jerry shared a box of marbles.
If Tom was given 10 fewer marbles, Jerry would have five times as many marbles as Tom.
If Tom was given 10 more marbles, he would have half as many marbles as Jerry.
/what percentage of the marbles did TOm Receive?
Ans : 25 %
Does anyone know how to solve this question ? Thanks.

Newbie

Registered: 04/02/11
Posts: 4

 By: pkrdd (offline)  Sunday, August 28 2011 @ 11:19 PM CDT
pkrdd

I will try explaining Q16 first. this sum needs to use constant total approach

if tom gets 10 marbles less then ratio is 1u:5u (total 6 units)
if tom gets 10 marbles more then ratio is 1u:2u (total 3 units) => 2u:4u (total 6 units)

making the total units same ie., 1 unit of tom before = 2 units of tom after

but 1 unit of tom before has 10 less and 2units of tom after has 20 more (2*10)

if tom originally has 'p' parts then

p-10 = 2p+20
p = 30 (original tom has)
u = 20
total marbles = 6u = 120 marbles

so his share is (30/120)*100 = 25%

Not sure if I am able to explain properly. let me know if you have difficulty in understanding.

Junior

Registered: 01/11/10
Posts: 16

 By: w13158 (offline)  Wednesday, August 31 2011 @ 10:59 PM CDT
w13158

for Q6, you may have missed out the price of apple and pear. I have checked with other forum, it is 40cents for apple and 60cents for pear.

First, find the ratio of the price for apple to pear
40:60 and simplified to 2:3

When Ari buys apple, find the equation for the apple to pear ratio:
9 x 0.60 = 5.40 (this is the price for 9 pears)

Gopal Ari
-------- -----
3u + 5.40 : 2u

When Ari buys pears, the equation would be:
41X0.40 = 16.40 (this is the price for 41 apples)

Gopal Ari
--------- -----
2u + 16.40 : 3u

Make Ari units for both equations to be the same. Note: multiply the unit only.
3u+5.40 : 2u multiply by 3
9u+5.40 : 6u

2u + 16.40 : 3u multiply by 2
4u + 16.40 : 6u

Solve the Gopal's equations.
9u+5.40 = 4u + 16.40
5u=11
u=2.2

substitute u=2.2 into the original equation 3u+5.4.
=6.6+5.4
=12
Ans: \$12

Newbie

Registered: 08/01/11
Posts: 8

 By: sweetphone123 (offline)  Friday, September 02 2011 @ 09:12 AM CDT
sweetphone123

Thanks pkrdd and w13158 for solving questions 16 and 6 respectively.

Newbie

Registered: 04/02/11
Posts: 4

 By: ZombieFreak (offline)  Saturday, September 03 2011 @ 02:29 AM CDT
ZombieFreak

Quote by: sweetphone123

Thanks pkrdd and w13158 for solving questions 16 and 6 respectively.

noob

Junior

Registered: 10/29/10
Posts: 17

 By: ZombieFreak (offline)  Saturday, September 03 2011 @ 02:29 AM CDT
ZombieFreak

Quote by: sweetphone123

Thanks pkrdd and w13158 for solving questions 16 and 6 respectively.

noob

Junior

Registered: 10/29/10
Posts: 17

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