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#