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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?

 Sep 11, 2023
 #1
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Let the number of orders that were delivered on time be a.

 

3.5a4.3(210a)=532.2

  3.5a903+4.3a=532.2

     7.8a903=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×$3.5=$644.

 

If there were 184 orders that were on time, there were 

 

210184=26 late orders.

 

We should now subtract 

 

26×$4.3=$111.8

 

from Peter's $644.

 

$644$111.8=$532.2

 

184 orders were delivered on time.

 Sep 12, 2023

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