CBSE Class 10 Maths (Standard) 2023 · Paper 30/4/1 · Question 36

Pair of Linear Equations in Two Variables 4 marks Hard

Two schools 'P' and 'Q' decided to award prizes to their students for two games of Hockey (Rs

x

per student) and Cricket (Rs

y

per student). School 'P' decided to award a total of Rs 9,500 for the two games to 5 and 4 students respectively; while school 'Q' decided to award Rs 7,370 for the two games to 4 and 3 students respectively. Based on the above information, answer the following questions :

(i)Represent the given information algebraically (in terms of $x$ and $y$ ).[1]
(ii)(a)What is the prize amount for hockey?[2]
(ii)(b)OR Prize amount on which game is more and by how much?[2]
(iii)What will be the total prize amount if there are 2 students each from two games?[1]

Answer

Equations

5 x + 4 y = 9500, 4 x + 3 y = 7370

; hockey

x =

Rs 980; cricket prize is more by Rs 170; total for 2+2 students

=

Rs 4260.

🔒 Step-by-step solution

From the board paper

CBSE Class 10 Maths (Standard) 2023 · Paper 30/4/1, Question 36 — all 38 questions with answers →

CBSE Class 10 Maths (Standard) 2023 · Paper 30/4/1 · Question 36

Answer

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