NMTC Inter Level Problem 9

Algebra Level 3

A number of workers in their tea time went to a tea shop and took tea and snacks. At the end, they decided to split the bill evenly among them. If each contributes Rs. 16, they found that they were Rs. 4 short, while if each contributes Rs. 19, they had enough to pay the bill, 15% for the tip, and had Rs. 2 left over. The number of workers is

12 10 15 11

Nanayaranaraknas Vahdam by Nanayaranaraknas Vahdam , 22, India

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2 solutions

Deepshikha Tewari
Dec 31, 2014

Let no. Of workers be x.

Let the total bill be y

Acc. to the first statement

16x=y-4

Acc. to the second statement

19x = y +2 + ( 0.15 *y )

On solving:

X = 11

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Harshad Argekar
Aug 27, 2014

Let number of workers be x.

Cost of meal for all is 16x + 4 15% of this is (16x+4)×0.15

So equation is

19x = ( 16x+4)+[(16x+4)×0.15]+2

Solving this x= 11

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