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Question

Devi buys 4 times as many pencils as Shilpa. If 30 pencils remain in the shop, which expression do not give the number of pencils before the girls bought their pencils?


A

5p + 30

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B

p + 30

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C

4p + 30

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D

5p - 30

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Solution

The correct options are
B

p + 30


C

4p + 30


D

5p - 30


Given, the number of pencils remaining in the shop after the girls bought the pencils is 30.
Also, let the number of pencils bought by Shilpa be p.
Then, the number of pencils bought by Devi is 4p.
Total number of pencils bought by the girls is p + 4p = 5p
The number of pencils remaining in the shop after the girls bought the pencils is 30.
The total number of pencils in the shop before and after girls bought pencils is a constant value.
The required algebraic expression
= Number of pencils bought by girls + Number of pencils remaining in the shop
= 5p + 30


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