Will has some sweets.Dave has 3 times as many as Will whilst Debbie has 3 less than Dave. If they have 95 altogether, what is the ratio between the number of sweets that Will has to the number that Dave has to the number that Debbie has? Give your answer in its simplist form.
Dont worry, I'm trying to figure it out right now. Just wait a few minutes and I'll give you the answer in long form so you can atleast simplify it. :)
Oh gosh, this is actually surprisingly hard. Have you tried writing it out so you can visually see it? or just trialed and errored. I'm close but I haven't quite gotten it yet. My closest was Dave=14 Will=45 Debbie=35 Then I realised Debbies didn't work! Maybe you can mix around with the numbers I just gave you a bit? Good luck!
Tips: Break the worded question down to a way that you can actually understand. Figure out what you're actually trying to find. If you find most worded questions difficult look up ways to help with them or ask a teacher for some advice/help/extra work.
+118651 Debbie E Dave A Will W
Will has some sweets.
Dave has 3 times as many as Will whilst A=3W (1)
Debbie has 3 less than Dave. E = A/3 so A=3E (2)
So Will and Debbie have the same number of sweets. 3 times less than Dave. W=E
W+W+3W=95
Will : Dave : Debbie
W : 3W : W Divide by W
1 : 3 : 1
+118651 NOTE:
W+W+3W=95
5W=95
W = 19
Will gets 19, Debbie gets 19 and Dave gets 57
+129839 Call the number that Dave has, D
Then Debbie has D- 3
And Will has D/3
And we have that
[D ] + [ D - 3 ] + [ D/3 ] = 95 multiply through by 3
3D + 3D - 9 + D = 285 simplify
7D = 294 divide both sides by 7
D = 42 = Dave's
D - 3 = 42 - 3 = 39 = Debbie's
D/3 = 42/ 3 = 14 = Will's
And the ratios are
Will : Dave : Debbie
14 : 42 : 39
