A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Aarushi paid Rs 27 for a book kept for seven days. If fixed charges are Rs x and per day charges are Rs y, write the linear equation representing the above information.

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Solution

Let fixed charges for first 3 days = Rs x

and additional charges for each day = Rs y

Total period = 7 days

and amount charges = Rs 27

$∴ x + (7 - 3) \times y = 27 \Rightarrow x + 4 y = 27 H e n c e x + 4 y = 27$

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A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Aarushi paid Rs 27 for a book kept for seven days. If fixed charges are Rs x and per day charges are Rs y, write the linear equation representing the above information.

Let fixed charges for first 3 days = Rs x and additional charges for each day = Rs y Total period = 7 days and amount charges = Rs 27 ∴ x+(7−3)×y=27⇒ x+4y=27Hence x+4y=27

Let fixed charges for first 3 days = Rs x

and additional charges for each day = Rs y

Total period = 7 days

and amount charges = Rs 27

$∴ x + (7 - 3) \times y = 27 \Rightarrow x + 4 y = 27 H e n c e x + 4 y = 27$