Rachel saved $200 and spends $25 each week. Roy just started saving $15 per week. In how many weeks will Rachel and Roy have the same amount of money saved?
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the statement:
Rachel saved $200 and spends $25 each week. Roy just started saving $15 per week.
Determine in how many weeks will Rachel and Roy have the same amount of money saved.
Solution:
To determine in how many weeks will the two person have the same amount, we must first equate the values in a representation.
Rachel's money = 200 - 25x
Roy's money = 15x
x = number of weeks
Equate the values into one single solution, and solve for x.
200 - 25x = 15x
Transpose -25x to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
200 = 15x + 25x
200 = 40x
Divide both sides by 40 in order to determine the value of x.
40x/40 = 200/40
x = 5
Final answer:
Their amount of money will be the same in 5 weeks.