Question

I WILL MARK BRAINIEST PLEASE HELP ME ON THIS QUESTION
Lulu Ruby and Emma went shopping went a total of £261. Each of them had different amount of money. Lulu spent 2/3 of her money Ruby spent 1/2 of her money and Emma spent 3/4 of her money. Each of them spent the same amount of money.how much did money did they begin with?

Answer 1

Answer:

Lulu's money = £81

Ruby's money= £108

Emma's money= £72

Step-by-step explanation:

Let

Lulu's money = x

Ruby's money= y

Emma's money= z

x+y+z= 261

Lulu spent 2/3 of her money Ruby spent 1/2 of her money and Emma spent 3/4 of her money.

2/3x = 1/2y= 3/4z

2/3x= 1/2y

4/3x= y

2/3x= 3/4z

8/9x= z

x+y+z= 261

x+4/3x+8/9x= 261

9x+12x+8x= 2349

29x= 2349

X= 81

4/3x= y

4/3(81) =y

108= y

8/9x= z

8/9(81)= z

72= z