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2 years ago

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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?

2 answers:

IRINA_888 [86]2 years ago

6 0

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

<em>Alice</em>

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

<em>Mack</em>

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

$2x-x=8-2$

$x=6\ weeks$

<u><em>Verify</em></u>

For x=6 weeks

<em>Alice</em>

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

<em>Mack</em>

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

therefore

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

Guest1 year ago

0 0

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

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Step-by-step explanation:

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2 years ago

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