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Simultaneous (Linear) Equations (Including Problems) — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSSimultaneous (Linear) Equations (Including Problems)3 Marks
Question
A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Geetapaid $\text{Rs}. 27$ for a book kept for seven days, whileMohitpaid $\text{Rs.}21$ for the book he kept for five days. Find the fixed charges and the charge for each extra day.
✓

Answer

Let the fixed charges be $\text{Rs.} x$ and the charge for each extra day be $\text{Rs.} y.$
According to the question,
$x + 4y = 27 ...(1)$
and $x + 2y = 21 ....(2)$Solving the equations, we get
$2y = 6$
$\therefore y = 3$
and $x = 21 - 2y = 21 - 2(3) = 15$
Hence, the fixed charges is $\text{Rs.} 15$ and the charge for each extra day is $\text{Rs}. 3.$

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