Posting for traffic - Maths help please?

[PomPomSugar]

I have a son in tears trying to do his maths homework and I don’t understand it to help him! Is anyone a maths wiz? Can I post the problems and someone can tell me how to help him?

Yes, post the question and I’ll try to help

These are the ones I just can’t help on!

Thank you.

I’ll send you the solution with working out but basically the method you use here is to cross multiply

Last one
Square so sides are equal
6x-1=4x+6

6x-4x = 6+1
2x=7
X=7/2=3.5

Second last

5x-4 = 3(3x+8)
5x-4=9x +24
4x= 28
X=7

Q1
(2x-7)/4 = (x+3)/3
multiply both sides by 4 and by 3 to get ride of the fractions
3(2x-7) = 4(x+3)
multiply out the brackets
6x-21 = 4x+12
simplify
2x = 33
x = 16.5

(but that seems like an odd answer so I might have gone wrong)

1/15 =3/45

3+2x+6+x=45
3x +9 =45
3x =36
X=12

Humbug is 2x+6 =30
So prob is 30/45 or 2/3

Hope this is a help

q2
3 eclairs
2x+6 Humbugs
x mints
total = 3+2x+6+x sweets = 9+3x sweets
probability of eclair = 3/(9+3x)
= 1/15
turn both sides upside down (a cheat that works here)
15/1 = (9+3x)/3
multiply both sides by 3
45 = 9+3x
36 = 3x
x = 12
number of humbugs = 30
total sweets = 45
probability of humbug = 30/45 = 2/3

@kitchenSink5 @PomPomSugar the square one actually asks the length of the sides so you need to use the value of x back into the equations for the sides. It gives a length of 20cm.

There must be 45 sweets because there are 3 eclairs. 3/45 = 1/15.

We know there are 3 eclairs and 6 humbugs, so the remaining 36 sweets equates to 3x, therefore x=12.

Humbugs: 2x + 6 = 12 + 12 + 6 = 30.

30/45 is simplified to 2/3.

Thank you all so much! I was nearly there with the humbug one!

I made question 3 x=-7, not 7
Because from 5x-4=9x+24, you get -4x=28.