Respuesta :
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,
[tex]\frac{5}{3} = \frac{9}{x}\\\\5x = 27\\\\x = 5.4[/tex]
Thus the weight of 9 bags is 5.4 blocks
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
= [tex]\frac{27}{5}[/tex] blocks = 5.4 blocks
Step 3 :
Answer :
9 bags will be equal to 5.4 blocks
