1.

Bansal has 7 times as many two-rupee coins as he has five-rupee coins. If he has in all a sum of rupees 95, how many coins of each denomination does he have?(a) 5 two-rupee and 2 five-rupee(b) 15 two-rupee and 5 five-rupee(c) 5 two-rupee and 15 five-rupee(d) 15 two-rupee and 5 five-rupeeThe question was posed to me in final exam.My doubt is from Solving Linear Equations with Variables on Both the Sides in portion Linear Equations in One Variable of Mathematics – Class 8

Answer»

Correct option is (b) 15 two-rupee and 5 five-rupee

To explain I would SAY: Let the number of five-rupee coins with Bansal be x. Then the number of two-rupee coins will be 7X. The amount from

(i) Five-rupee coins = 5x

(ii) Two-rupee coins = 2x × 7 = 14x

Hence the total amount with Bansal is 19x.

∴ 19x = 95

∴ x = 5

Thus, the number of five-rupee COIN = 5

and number of two-rupees coin = 15.



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