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Solve the following.
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.
(i)[2.0]
Translate the problem into a system of equations.
(ii)[2.0]
Solve the system of equation by using matrix method.
(iii)[2.0]
Hence, find the cost of one paper bag, one scrap book and one pastel sheet.
Answer
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From ISC 2025 Specimen Mathematics Paper 1, question 11.
Check your working with the Matrix inverse and equations solver: determinant, minors, cofactors, adjoint and inverse; or solve equations by the matrix method.