Peter has twice as much as Meg. Meg has $4 more than Stevie. Together they have a total of $48. How much does Meg have?

3 Answers
Jul 22, 2017

Meg has 13$

Explanation:

Let the money with Stevie be x

Money with Meg= x+4
Money with Peter=2(x+4)

Together they have 48$
Therefore,
x+(x+4)+2(x+4)=48
x+x+4+2x+8=48
4x+12=48
4x=36
x=9
Therefore,Stevie has 9$
So, Meg has 13$

Jul 22, 2017

Meg has $13

Explanation:

Let P denotes Peter, M denotes Meg , S denotes stevie.

Condition given ,

P=2M ; M = S +4 :. S= M-4; P+M+S= 48 or

P+M+S= 48 or 2M + M + M-4 =48 or

4M-4 =48 or 4M=52 or M=13

Meg has $13 [Ans]

Jul 22, 2017

Peter has $26

Meg has $13

Stevie has $9

Explanation:

Let's say Peter's money is equal to x ,

Meg's y and Stevie's z :

So it is true that :

x=2y
y=4+z
x+y+z=48

We mus solve this system, so let's substitude the first and second equations to the last one :

2y+4+z+z=48 iff 8+2z+4+2z=48 iff 4z=36iff

z=36/4=9

y=4+z=4+9=13

x=2y=2*13=26

So Peter has $26

Meg $13

Stevie $9