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?

sPpBCdIT Sep 11, 2023

#1**+2 **

Let the number of orders that were delivered on time be \(a\).

\(3.5a - 4.3(210-a) = 532.2\)

\(3.5a-903+4.3a=532.2\)

\(7.8a-903=532.2\)

\(7.8a=1435.2\)

\(a=184\)

Now we should check our answers:

If \(184\) orders were delivered on time, Peter would have

\(184\times$3.5=$644\).

If there were \(184\) orders that were on time, there were

\(210-184=26\) late orders.

We should now subtract

\(26\times$4.3=$111.8\)

from Peter's \($644\).

\($644-$111.8=$532.2\)

\(184 \) orders were delivered on time.

BlackjackEd Sep 12, 2023