Thursday, May 21, 2015

Beth and Alex have 155p between them.Beth has 15p more than Alex.Beth have x p and Alex have y p. How do I formulate a simulteneous equation

I'm not sure this is a 'simultaneous equation' but this is how i'd solve it.


'p' is just the unit, not a variable, so ignore 'p' for now.


Beth and Alex have 155 between them.


Beth has 15 more than Alex. Beth's amount is represented by x and Alex's amount is represented by y. Since Beth has 15 more than Alex, instead of using x for Beth, use (y+15). Now, Alex is y and Beth is (y+15).


The first equation would be: x + y = 155.


Substituting (y+15) for Beth's x, the new equation is:


y + (y+15)  = 155


Solve for y: 2y + 15 = 155


2y = 140


y = 70


Beth is x, or (y +15), so x = (70+15)


x = 85


Then you can add 'p'. Alex has 70p and Beth has 85p giving 155p in total.

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