Question

Diego has $11 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $60 and begins spending $2 per week on supplies for her art class.

1. After how many weeks will they have the same amount of money?

after ____ weeks.

2. How much do they have at that time?

$ ____.

Answer 1

7 weeks they will have the same amount which is $46

Answer 2

1. It should be 7

2. They have $46

Explanation:

1. You make a system of linear equations from this. So it would be y= 5x+11 where x is the number of weeks and y is the money. And the second linear equation is y=-2x+60. Then you substitute it. You make it 5x+11=-2x+60. Then you solve it normally and you got your answer but remember in this case they are asking for the x. So make sure to submit the x and not the y.

2. For this it is the same thing except they are asking for the y not the x.