###### Advertisements

###### Advertisements

In a Mathematics quiz, 30 prizes consisting of 1st and 2nd prizes only are to be given. 1st and 2nd prizes are worth ₹ 2000 and ₹ 1000, respectively. If the total prize money is ₹ 52,000 then show that:

The total value of prizes in terms of x are ______.

###### Advertisements

#### Solution

The total value of prizes in terms of x are **2000x + 1000(30 – x)**.

**Explanation:**

Given, the number of prizes = 30

Total prize money = ₹ 52000, 1st and 2nd prizes are worth ₹ 2000 and ₹ 1000, respectively.

Total value of prizes in terms of x are **2000x + 1000(30 – x)**.

#### RELATED QUESTIONS

Set up equations and solve them to find the unknown numbers in the following case:

When I subtracted 11 from twice a number, the result was 15.

In a test Abha gets twice the marks as that of Palak. Two times Abha's marks and three times Palak's marks make 280.

The equation formed is ______.

In a test Abha gets twice the marks as that of Palak. Two times Abha's marks and three times Palak's marks make 280.

The solution of the equation is ______.

The length of a rectangle is two times its breadth. Its perimeter is 60 cm.

The equation formed is ______.

In a bag there are 5 and 2 rupee coins. If they are equal in number and their worth is ₹ 70, then

The equation formed is ______.

In a Mathematics quiz, 30 prizes consisting of 1st and 2nd prizes only are to be given. 1st and 2nd prizes are worth ₹ 2000 and ₹ 1000, respectively. If the total prize money is ₹ 52,000 then show that:

The solution of the equation is ______.

The age of Sohan Lal is four times that of his son Amit. If the difference of their ages is 27 years, find the age of Amit.

The sum of three consecutive integers is 5 more than the smallest of the integers. Find the integers.

Two complementary angles differ by 20°. Find the angles.

Look at this riddle?

If she answers the riddle correctly how ever will she pay for the pencils?