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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 ❓❓0.875x-48=0.363x0.512x=48x = 93.75the same as 7/8*x - 48 = 4/11*xhope 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*48Collect the Jacks on one side and the constants on the other sideJack * (77/8 - 4) = 48*(11+4) Simplify - keeping the LHS as improper fractions over the same denominatorJack * (77/8 - 32/8) = 48 * 15Or even more simply:Jack * 45/8 = 48 * 15Factorize the RHS differently noting that 45 = 3 * 15Jack * 45/8 = 16 * 3 * 15Divide both sides by 45, multiply by 8 Jack = 16 * 8 = £128 so therefore Jill = 7/8 * £128 = £112Phew!(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*48Collect the Jacks on one side and the constants on the other sideJack * (77/8 - 4) = 48*(11+4) Simplify - keeping the LHS as improper fractions over the same denominatorJack * (77/8 - 32/8) = 48 * 15Or even more simply:Jack * 45/8 = 48 * 15Factorize the RHS differently noting that 45 = 3 * 15Jack * 45/8 = 16 * 3 * 15Divide both sides by 45, multiply by 8 Jack = 16 * 8 = £128 so therefore Jill = 7/8 * £128 = £112Phew!(Jill woz robbed if you ask me!)But 112-48 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 = 64O, 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 firstRatio before Jill gave out money is 7/8 meaning Jill had 7 portion and Jack had 8. Total portion was 7+8=15After 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 firstRatio before Jill gave out money is 7/8 meaning Jill had 7 portion and Jack had 8. Total portion was 7+8=15After 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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