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Help Pleaseeeeeeeee https://www.elevenplusexams.co.uk/forum/11plus/viewtopic.php?f=2&t=57943 
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Author:  fluffygirl_27 [ Tue May 07, 2019 6:26 pm ] 
Post subject:  Help Pleaseeeeeeeee 
The amount of money Jill had was 7/8 of the money Jack had. After giving £48 to Jack, Jill had 4/11 of Jack’s money. How much money did Jack have at first 
Author:  dreams [ Tue May 07, 2019 9:15 pm ] 
Post subject:  Re: Help Pleaseeeeeeeee ‼️‼️ 
fluffygirl_27 wrote: The amount of money Jill had was 7/8 of the money Jack had. After giving £48 to Jack, Jill had 4/11 of Jack’s money. How much money did Jack have at first ❓❓ 0.875x48=0.363x 0.512x=48 x = 93.75 the same as 7/8*x  48 = 4/11*x hope it helps 
Author:  solimum [ Tue May 07, 2019 9:57 pm ] 
Post subject:  Re: Help Pleaseeeeeeeee ‼️‼️ 
Not sure if that works  I'd keep it as fractions and avoid working out any arithmetic until the last possible moment: Jill = 7/8 * Jack , or 8*Jill = 7*Jack (Jill  48) = 4/11 * (Jack + 48)  rewrite as 11 * (Jill  48) = 4 * (Jack + 48) Replace Jill in the second equation with 7/8 * Jack and remove brackets (and avoid multiplying out the constants yet!) 11 * 7/8 * Jack  11*48 = 4*Jack + 4*48 Collect the Jacks on one side and the constants on the other side Jack * (77/8  4) = 48*(11+4) Simplify  keeping the LHS as improper fractions over the same denominator Jack * (77/8  32/8) = 48 * 15 Or even more simply: Jack * 45/8 = 48 * 15 Factorize the RHS differently noting that 45 = 3 * 15 Jack * 45/8 = 16 * 3 * 15 Divide both sides by 45, multiply by 8 Jack = 16 * 8 = £128 so therefore Jill = 7/8 * £128 = £112 Phew! (Jill woz robbed if you ask me!) 
Author:  dreams [ Tue May 07, 2019 11:34 pm ] 
Post subject:  Re: Help Pleaseeeeeeeee ‼️‼️ 
solimum wrote: Not sure if that works  I'd keep it as fractions and avoid working out any arithmetic until the last possible moment: Jill = 7/8 * Jack , or 8*Jill = 7*Jack (Jill  48) = 4/11 * (Jack + 48)  rewrite as 11 * (Jill  48) = 4 * (Jack + 48) Replace Jill in the second equation with 7/8 * Jack and remove brackets (and avoid multiplying out the constants yet!) 11 * 7/8 * Jack  11*48 = 4*Jack + 4*48 Collect the Jacks on one side and the constants on the other side Jack * (77/8  4) = 48*(11+4) Simplify  keeping the LHS as improper fractions over the same denominator Jack * (77/8  32/8) = 48 * 15 Or even more simply: Jack * 45/8 = 48 * 15 Factorize the RHS differently noting that 45 = 3 * 15 Jack * 45/8 = 16 * 3 * 15 Divide both sides by 45, multiply by 8 Jack = 16 * 8 = £128 so therefore Jill = 7/8 * £128 = £112 Phew! (Jill woz robbed if you ask me!) But 11248 should be equal to 4/11 of Jack’s initial amount of money which is equal to 46 according to your equation. 
Author:  AdamV [ Wed May 08, 2019 7:48 am ] 
Post subject:  Re: Help Pleaseeeeeeeee ‼️‼️ 
No, after Jill gives Jack £48 she has 4/11 of what Jack has now. Which is £48 more than he started with. So £112  £48 = 4/11 of (128+48) = 4/11 of 176 = 4*16 = 64 
Author:  dreams [ Wed May 08, 2019 7:55 am ] 
Post subject:  Re: Help Pleaseeeeeeeee ‼️‼️ 
AdamV wrote: No, after Jill gives Jack £48 she has 4/11 of what Jack has now. Which is £48 more than he started with. So £112  £48 = 4/11 of (128+48) = 4/11 of 176 = 4*16 = 64 O, yes, you’re right 
Author:  Qeb2019 [ Wed May 08, 2019 10:43 am ] 
Post subject:  Re: Help Pleaseeeeeeeee 
fluffygirl_27 wrote: The amount of money Jill had was 7/8 of the money Jack had. After giving £48 to Jack, Jill had 4/11 of Jack’s money. How much money did Jack have at first Ratio before Jill gave out money is 7/8 meaning Jill had 7 portion and Jack had 8. Total portion was 7+8=15 After Jill gave £48 new ratio is 4/11 ( total still 15 portion), easy to see that: Jill reduced 3 portion and Jack increase 3 portion and 3 portion is equal £48 therefore 1 portion is 48/3=16. Jack had 8x16=128. Hope that helps. 
Author:  solimum [ Wed May 08, 2019 3:00 pm ] 
Post subject:  Re: Help Pleaseeeeeeeee 
Qeb2019 wrote: fluffygirl_27 wrote: The amount of money Jill had was 7/8 of the money Jack had. After giving £48 to Jack, Jill had 4/11 of Jack’s money. How much money did Jack have at first Ratio before Jill gave out money is 7/8 meaning Jill had 7 portion and Jack had 8. Total portion was 7+8=15 After Jill gave £48 new ratio is 4/11 ( total still 15 portion), easy to see that: Jill reduced 3 portion and Jack increase 3 portion and 3 portion is equal £48 therefore 1 portion is 48/3=16. Jack had 8x16=128. Hope that helps. That was quicker than my method  thanks! 
Author:  fluffygirl_27 [ Wed May 08, 2019 7:04 pm ] 
Post subject:  Re: Help Pleaseeeeeeeee 
Thank you everyone 
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