Question

Mallory and Aimee save money for summer camp. They both plan to save the same amount of money. Mallory has 35$ and plans to save 15$ each week. Aimee has 5$ and plans to save 50$ a week. How many weeks it'll take for Aimee and Malloy to have the same amount of money

Answer 1

0.857 weeks

Explanation:

Using the information provided we can create the following equations for the total amount Mallory (M) and Aimee (A) will save after x number of weeks...

M = 35 + 15x

A = 5 + 50x

Now we would need to make both of these equations equal one another and solve for x to calculate after how many week both Aimee and Mallory will have saved the same amount of money

35 + 15x = 5 + 50x ... subtract 5 and 15x from both sides

30 = 35x ... divide both sides by 35

`(30)/(35)` or 0.857 = x

Finally, we can see that after 0.857 weeks both Mallory and Aimee will have saved the same amount of money.

*** The process provided is correct but I believe that the actual values for Aimees savings should be $50 and plans to save $5 a week, this would make the final result 1.5 weeks which would make more sense***