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Question

Abhishek and his sister Sneha went to a fair in their village. Abhishek spent ₹19 on 2 giant wheel rides and 3 roller coaster rides, while Sneha spent ₹18 on 3 giant wheel rides and 1 roller coaster ride. If the cost per giant wheel ride and roller coaster ride is taken as x and y, respectively, then which of the following graphs represents the cost per giant wheel ride and roller coaster ride correctly?

[1 mark]

A
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B
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C
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D
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Solution

The correct option is A
Based on the information given in the question,
2x+3y=19 and
3x+y=18
By plotting these equations on the graph, we get,
It can be seen that the two lines are intersecting at (5, 3).
Cost per giant wheel ride = ₹5
Cost per roller coaster ride = ₹3


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