Question

if 24 boxes contain 2880 table tennis balls,how many boxes are required for 720 balls?
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Answer 1

Answer:

Step-by-step explanation:

24 boxes contain 2880 balls. So, number of balls per box = 2880/24 = 120 balls/ box

Now number of boxes required for 720 balls = 720/ 120 = 6

Answer 2

Answer :-

6 boxes are required for 720 Balls.

Explanation :-

Given :

24 boxes contains = 2880 balls

To find :

Boxes required for 720 balls

Method I

By Proportion =

Consider the boxes required for 720 Balls as x

$\rightarrow$24 : 2880 : : x : 720

Mean Terms = 2880 and x

Extreme Terms = 24 and 720

${\boxed{\sf\:{Mean \times Mean Terms = Extreme \times Extreme Terms}}}$

$\sf{\implies}2880 \times x = 24 \times 720$

$\sf{\implies}2880x = 17280$

$\sf{\implies}x = \dfrac{17280}{2880}$

$\sf{\implies}x = 6$

$\boxed{\sf{x = 6}}$

$\therefore$ 6 boxes are required for 720 Balls.

Method II

By Unitary Method :

Balls in one box =

$\sf{\implies}$ 2880 ÷ 24

$\sf{\implies}$ 120

120 Balls in one box

Boxes required for 720 balls

$\sf{\implies}$ 720 ÷ 120

$\sf{\implies}$ 6

$\therefore$ 6 boxes are required for 720 Balls.