Peter delivered 210 food orders in a week. For every order that was delivered on time, he earned $3.50. For every order that was delivered late, he would not earn any money and would have to pay a fine of $4.30 instead. He received $532.20 at the end of the week. How many orders were delivered on time?
Let the number of orders that were delivered on time be \(a\).
\(3.5a - 4.3(210-a) = 532.2\)
Now we should check our answers:
If \(184\) orders were delivered on time, Peter would have
If there were \(184\) orders that were on time, there were
\(210-184=26\) late orders.
We should now subtract
from Peter's \($644\).
\(184 \) orders were delivered on time.