Amanda has $75 in her savings accountwhile Julie has $30 in her savings account Amanda adds $5 per week into her allowance and Julie saves $14 per week. How much money will they have when they have the same amount of money ? please explain <3

Given:

Amanda has $75 in her savings account while Julie has $30 in her savings account Amanda adds $5 per week into her allowance and Julie saves $14 per week.

Determine how much money will they have when they have the same amount of money. 

Solution:

To do so we can equate first the value in a representation.

Amanda's money = 75 + 5x

Julie's money = 30 + 14x

In order to determine their amount of money, we must first equate them into one equation, and find for the number of weeks that their money will be the same.

75 + 5x = 30+ 14x

Transpose 5x and 30 to the opposite sides of the equation. It must be taken to note that in transposing a number, the sign changes.

75 - 30 = 14x - 5x

45 = 9x

Divide both sides by 9 in order to determine the value of x.

9x/9 = 45/9

x = 5

Amanda's money
 = (75) + (5)(5)
= 75 + 25
= 100

Julie's money
= 30 + (14)(5)
= 30 + 70
= 100

Final answer:

Both of their money will become $100 in the 5th week.