Question

On the first day of the year, Diego had $700 in his savings account and started spending $35 a week. His brother Juan had $450 and started saving $15 a week. After how many weeks will the brothers have the same amount? What will that amount be?

Help !

Answer 1

x is the number of weeks
Diego's amount after x weeks: 700-35x
Juan's amount after x weeks: 450 + 15x
These are equal so write equation
700-35x =450 +15x
700-450 = 35x +15x
250 = 50x
x = 5 weeks
450 +15*5 = 450 +75 = $525