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Kumar bought 5 posters and 11 cards with 1/3 of his money. The cost of each poster was 3 times the cost of each card. He bought some more posters with 3/4 of his remaining money.

(a) What was the greatest number of cards Kumar could buy with 1/3 of his money?

(b) How many posters did Kumar buy in all?

 Sep 10, 2021
 #1
avatar+1496 
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Kumar bought 5 posters and 11 cards with 1/3 of his money. The cost of each poster was 3 times the cost of each card. He bought some more posters with 3/4 of his remaining money.

(a) What was the greatest number of cards Kumar could buy with 1/3 of his money?

(b) How many posters did Kumar buy in all?

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1 card = x          1 poster = 3x

 

5(3x) + 11x = 26x

 

a)    With 1/3 of his money, Kumar could've bought 26 cards.

 

b)    He bought 18 posters    

 Sep 11, 2021
 #2
avatar+272 
+1

I will solve this question in elementary way

 

(a)     the cost of each poster was 3 

times the cost of each card, so the money 

for 1 poster can buy 3 card

                 5 * 3 = 15

               15 + 11 = 26

         So he can buy 26 cards

 

(b)   3/4 of his remaining money = 3/4 * (1 - 1/3)

 

       is 1/2 of his all money       = 3/4 * 2/3

                                                 = 1/2

        1/2 / 1/3 * 26 = 3/2 * 26 = 39

             39 / 3 = 13

             13 + 5 = 18

        So he bought 18 posters

 Sep 12, 2021

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