Answer:
The two friends will have same account balance in 10 weeks.
Step-by-step explanation:
Given that:
Amount deposited by Reid = $100
Amount deposited each week = $40
Let,
x be the number of weeks.
R(x) = 40x + 100
Amount deposited by Akira each week = $50
A(x) = 50x
For the two friends to have same account balance,
A(x) = R(x)
50x=40x+100
50x-40x=100
10x=100
Dividing both sides by 10
[tex]\frac{10x}{10}=\frac{100}{10}\\x=10[/tex]
Hence,
The two friends will have same account balance in 10 weeks.