Janelle has $20 and is saving $6 per week. April has $150 and is spending $4 per week. When will they both have have the same amount of money?
please show work,
To solve this problem, we need to figure out when Janelle's savings and April's spending will result in the same amount of money.
Let's assume that it takes n weeks to reach the point where they both have the same amount of money.
Janelle's savings after n weeks: 20 + 6n
April's money after n weeks: 150 - 4n
To find when they will have the same amount of money, we need to set their equations equal to each other and solve for n:
20 + 6n = 150 - 4n
To isolate n, let's start by getting rid of the variable on one side:
6n + 4n = 150 - 20
10n = 130
Now, divide both sides of the equation by 10 to solve for n:
n = 130/10
n = 13
Thus, they will have the same amount of money after 13 weeks.
M1=20+6w
M2=150+4w
set them equal
20+6w=150+4w
2w=130
w=?