Question

alice has eight good behavior stars and earns a new one each week. Mack has two good behavior stars and earns two new ones each week. In how many weeks will they have the same number of good behavior stars?

Answer 1

Answer:

In 14 weeks will they have the same number of good behavior stars

Step-by-step explanation:

Let

x ----> the number of weeks

y ----> the number of good behavior stars

we know that

Alice

$y=x+8$ ----> equation A

Mack

$y=2x+2$ ----> equation B

To find out in how many weeks will they have the same number of good behavior stars, equate equation A and equation B

$2x+2=x+8$

Solve for x

$2x-x=8-2$

$x=6\ weeks$

Verify

For x=6 weeks

Alice

$y=(6)+8=14\ stars$

Mack

$y=2(6)+2=14\ stars$

therefore

In 14 weeks will they have the same number of good behavior stars

Answer 2

They would have the same number of good behavior stars in 14 weeks