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A salesperson bought a case of pens. On Monday, he sold ½ of the pens. On Tuesday, he sold 30 more. On Wednesday, he sold 1/3 of the pens that were left. On Thursday, he sold the remaining 40 pens. How many pens were originally in the case?

 Feb 14, 2021
 #1
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p= total number of pens originally

 

sell 1/2    then 1/2 remain

 

p - 1/2 p  -30    = pens after Tuesday

(p- 1/2 p - 30) 2/3   = pens after Wednesday    and this = 40 that were sold on Thursday

 

(p-1/2p-30)2/3 = 40

(1/2 p-30)(2/3) = 40

1/3 p - 20 = 40

1/3 p = 60

p = 180 pens  

 Feb 14, 2021

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