Q17 of 51 Page 2

Three prizes are to be distributed in a quiz contest. The value of the 2nd prize is five-sixths the value of the first prize and the value of the third prize is four-fifths that of the 2nd prize. If the total value of the three prizes is Rs.150, find the value of each prize.

Let the value of first prize be Rs. x.
(Dividing by 15 on both sides)

Check: (1) Rs. (60 + 50 + 40) = Rs.150 i.e. the total value of the three prizes.

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15 An altitude of a triangle is five-thirds the length of its corresponding base. If the altitude were increased by 4 cm and the base decreased by 2 cm, the area of the triangle would remain the same. Find the base and altitude of the triangle. 16 The sum of two numbers is 2490. If 6.5% of one number is equal to 8.5 % of the other, find the numbers. 18 One of the angles of a triangle is equal to the sum of the other two angles. If the ratio of the other two angles is 4:5, find the angles of the triangle. 19 Solve for x.
(i) 3x - 5 = x + 5
(ii) 9x - 3 = 7x + 3
(iii)
(iv)