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To raise money for an orphanage, students of three schools A, B and C organised an exhibition in…
To raise money for an orphanage, students of three schools A, B and C organised an exhibition in their residential colony, where they sold paper bags, scrap books and pastel sheets made by using recycled paper. Student of school A sold 30 paper bags, 20 scrap books and 10 pastel sheets and raised ₹ 410. Student of school B sold 20 paper bags, 10 scrap books and 20 pastel sheets and raised ₹ 290. Student of school C sold 20 paper bags, 20 scrap books and 20 pastel sheets and raised ₹ 440.
Answer the following question:
(i)
Translate the problem into a system of equations.
(ii)
Solve the system of equation by using matrix method.
(iii)
Hence, find the cost of one paper bag, one scrap book and one pastel sheet. [Application]
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From ISC 2025 Specimen Mathematics Paper 1, question 11.