Question

If 5 bags weigh the same as 3 blocks, how many blocks will 9 bags weigh?

Answer 1

The weight of 9 bags is 5.4 blocks

Solution:

Given that,

5 bags weigh the same as 3 blocks

We have to find how many blocks will 9 bags weigh

Let "x" be the weight of 9 bags

Then,

5 bags weigh the same as 3 blocks

9 bags weight the same as "x" blocks

From proportion we can say,

5 : 3 : : 9 : x

Therefore,

$\frac{5}{3} = \frac{9}{x}\\\\5x = 27\\\\x = 5.4$

Thus the weight of 9 bags is 5.4 blocks

Answer 2

9 bags will be equal to 5.4 blocks

Step-by-step explanation:

Step 1 :

Given,

Weight of 5 bags = weight of 3 blocks

We need to find the weight of 9 bags

Step 2 :

From step 1 , we get

Weight of 1 bag = weight of 3 blocks ÷ 5

The weight of bags is in direct proportion to the weight of the blocks.

Hence

Weight of 9 bags =   3 blocks × 9 ÷ 5

                             =  $\frac{27}{5}$ blocks = 5.4 blocks

Step 3 :

Answer :

9 bags will be equal to 5.4 blocks