3. Valerie and Melanie are both saving money for summer camp. Valerie has $50 and will be able to save $15 each week from her babysitting job. Melanie has $75 and will save $10 each week from her lawn mowing job. How many weeks will have passed when Valerie and Melanie have the same amount of money?​

Respuesta :

Answer:

5 weeks

Step-by-step explanation:

Let the number of weeks that they work = a

Hence, from the question,

Valerie has $50 and will be able to save $15 each week from her babysitting job.

$50 + $15 × a

50 + 15a

Melanie has $75 and will save $10 each week from her lawn mowing job.

$75 + $10 × a

75 + 10a

How many weeks will have passed when Valerie and Melanie have the same amount of money?

Hence:

Valerie = Melanie

50 + 15a = 75 + 10a

15a - 10a = 75 - 50

5a = 25

a = 25/5

a = 5

Therefore, 5 weeks will have passed when Valerie and Melanie have the same amount of money.