Question

Melinda starts with $22 and saves $10 each week. George starts with $10 and saves $13 each week. After how many weeks will they have the same amount saved?

Answer 1

Answer: 4

Step-by-step explanation:

Melinda: y = 10x + 22

George: y = 13x + 10

13x + 10 = 10x + 22

-10x          -10x          

 3x   + 10 =         22

         -10         -10

3x            =         12

÷3                      ÷3

  x            =          4

Answer 2

Lets say Y is the amount they will save.

So Melinda's savings could be described by the equation Y=22+10X, where X is the number of weeks. The same goes to George, but his equation would be Y=10+13X.

To save the same amount, their equations must match:

22+10X = 10+13X

Solving this, one gets

12 = 3x

=> 4=x

So the answer is 4 weeks.