Question

In a Mathematics quiz, total number of first and second prizes are 30. Number of first prizes are two-third of number of second prizes. Answer the following questions.

(i) If 2nd prizes are x in number then number of 1st prizes are _______ .

(ii)Form the equation according to the situation given in question.

(iii) Solve the equation and find the number of first and second prize.

Answer 1

Answer:

first prize = 12

Step-by-step explanation:

Given - number of first and second prizes are 30,

first prizes = 2/3 of second prizes, second prizes =x

To Find - if 2nd prizes are x in number then number of 1st prizes =?

Equation - 2x/3+x=30------------(1)

Solution - from equation (1) ,we understand that x is divided into 3 parts so,

30=x/3×5

x/3=30÷5

x/3=6

therefore, number of first prizes = 6×2

= 12