Rohan went to a stationery shop to purchase pens,erasers and rulers.he purchased more number of pens then erasers and more number of erasers than rulers.he purchased at least 10 items of each type the total no. Of items purchased is 35.how many rulers did rohan purchase?
a) how many rulers did Rohan purchase?
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He purchase 13 pens 12 eraser and 10 rules I hope.......
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Answer:
Given that Rakesh purchased at least 11 items of each
Let the number of pens, erasers, and sharpeners be (11+p),(11+e), and (11+s) respectively, such that-
(i) s>e>p ........ (Given)
(ii) s,e,p∈I
+
Rakesh went to a stationary shop to purchase a total of 38 pens, eraser, and sharpeners.
∴(11+p)+(11+e)+(11+s)=38
⇒p+e+s+33=38
⇒p+e+s=5
0,2 and 3 and 0,1 and 4 are the only unequal positive integral values which results 5 on addition.
∵s>e>p
∴p=0,e=2or1,s=3or4
Hence, no. of pens Rakesh purchased =11+0=11
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