Multiplication and division

Question

Multiplication and division

Hannah and Francine have$120. Hannah and Peter have$230. Peter has 6 times as much money as Francine. How much money does Hannah have?

Answer 1

Here's what we know:

h + f = 120 (Hannah and Francine have $120)

h + p = 230 (Hannah and Peter have $230)

p = 6f (Peter has 6 times as much as Francine)

 

We have a value for p, so plug it in:

h + f = 120

h + 6f = 230

 

We can use the elimination mthod here. Multiply the first equation by -1:

-h - f = -120
h + 6f = 230

-----------------

5f = 110

Divide by 5:

f = 22

 

Now you can solve either (or both to check your answer) of the following to find Hannah's money:

h + 22 = 120

h + (6 * 22) = 230