Question

I need help with my homework questions 1 and 2

Answer 1

8 weeks

Step-by-step explanation:

The saving of Maria after x number of weeks can be calculated as:

M = 70 - 6x

Because she has $70 and every week she has $6 less.

At the same way, the saving of Dan after x number of weeks can be calculated as:

D = 94 - 9x

Because he has $94 and every week she has $9 less.

Now, the value of M and D need to be equal, so we can write the following equation:

`\begin{gathered} M=D \\ 70-6x=94-9x \end{gathered}`

So, solving for x, we get:

`\begin{gathered} 70-6x=94-9x \\ 70-6x+9x=94-9x+9x \\ 70+3x=94 \\ 70+3x-70=94-70 \\ 3x=24 \\ (3x)/(3)=(24)/(3) \\ x=8 \end{gathered}`

Therefore, in 8 weeks their accounts will be equal.