Megan has $50 and saves $5.50 each week. Conner has $18.50 and saves $7.75 each week. After how many weeks will Megan and conner

Question

3 years ago

5

have saved the same amount?

1 answer:

QveST [7] · Answer 1 · 2022-08-15T16:12:48+03:00

After 14 weeks, both Megan and Conner will have saved the same amount.

Step-by-step explanation:

Amount Megan have = $50

Amount saved each week = $5.50

Amount Conner have = $18.50

Amount saved each week = $7.75

Let,

x be the number of weeks.

According to given statement;

M(x) = 50+5.50x Eqn 1

C(x) = 18.50+7.75x Eqn 2

For amount to be same;

Eqn 1 = Eqn 2

$50+5.50x=18.50+7.75x\\50-18.50=7.75x-5.50x\\31.50=2.25x\\2.25x=31.50\\$

Dividing both sides by 2.25

$\frac{2.25x}{2.25}=\frac{31.50}{2.25}\\x=14$

After 14 weeks, both Megan and Conner will have saved the same amount.

Keywords: functions, division

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