Question

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?

Answer 1

5 weeks

Explanation:

Equate Rachel and Roy's savings:

$200 - ($25/wk)w = ($15/wk)w

Combining like terms, we get:

$200 = ($40/wk)w, and so w comes out to 5 weeks.

Answer 2

5 weeks

Explanation:

200-25x = 15x

we set each equation equal since Rachel has 200 but spends 25 each week we set 200 - 25x (x being the number if weeks) equal to Roy saving $15 per week

200 -25x =15x

+25x +25x add 25x to both sides to isolate the variable

200= 40x

200/40 = 40x/40 divide both sides by 40 to get x by itself

5=x ( previously mentioned x is the number of weeks) therefore they will have either same amount of money after 5 weeks