You have $140 in a savings account and save $10 per week. Your friend has $95 in a savings account and saves $19 per week. How many weeks will it take for you and your friend to have the same balance?
Set up the savings account S(w) for you where w is the number of weeks
S(w) = 140 + 10w
Set up the savings account S(w) for your friend where w is the number of weeks
S(w) = 95 + 19w
The problem asks for the number of weeks (w) when the balances are the same. So set both equations equal to each other:
140 + 10w = 95 + 19w
To solve this equation for w, we type it in the search engine and get:
w = 5
Set up the savings account S(w) for you where w is the number of weeks
S(w) = 140 + 10w
Set up the savings account S(w) for your friend where w is the number of weeks
S(w) = 95 + 19w
The problem asks for the number of weeks (w) when the balances are the same. So set both equations equal to each other:
140 + 10w = 95 + 19w
To solve this equation for w, we type it in the search engine and get:
w = 5