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Q.

Sudha went to market with her friends. They wanted to eat `gol - gappa' as well as `dahi - bhalla'. The number of plates of gol - gappa taken by them is half that of dahi - bhalla. The cost of one plate of gol - gappa was Rs. 10 and cost of one plate of dahi - bhalla was Rs. 5. She spent Rs. 60. Represent the situation algebraically.


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a

2x – y = 0 and 10+ 5= 60

b

2+ y = 0 and 10+ 5= 60

c

2x – y = 0 and 10- 5= 60

d

2+= 0 and 10- 5= 60 

answer is A.

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Detailed Solution

It is given that,
Cost of 1 plate gol - gappa = Rs. 10
Cost of 1 plate dhai - bhalla = Rs. 5
Total money spent by Sudha = Rs. 60
Let the number of gol-gappa plates is equal to x, and the number of dhai-bhalla plates is equal to y.
Use the given conditions in the problem to frame equations in the unknown x and y:
According to question,
Half of the Dahi Bhalla was consumed by a number of dishes of gol-gappa.
x=12y 2x-y=0     …. (1)
And
10x + 5y = 60       … (2)
Therefore, given situation algebraically represented as
2x-y=0  and 10x+5y=60.    Hence, option (1) is correct.
 
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