Problema Solution
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. Write and solve an equation containing variables on both sides. After how many weeks will the brothers have the same amount? What will that amount be?
Answer provided by our tutors
Let w represents a weeks
After "w" weeks, Diego has $700-35w in his account.
After "w" weeks, Juan has $450 +15w in his account.
700 - 35w = 450 + 15w ... solve for "w"
700 = 450 + 50w
250 = 50w
w = 5
Diego, 35w=35*5=$175
Jaun, 15w=15*5=75
At the end of 5 weeks, Diego has 700 - 175 = $525 in his account.
At the end of 5 weeks, Juan has 450 + 75 = $525 in his account.
So, after 5 weeks their account balances are equal at $525.