Answer:
The weight of unknown block on each side of the scale is 1.5 grams.
Step-by-step explanation:
The number of blocks on 1 side = 5 blocks
Now, 3 blocks = 3 grams each
⇒Total weight of 3 blocks = (3 grams )times 3 = 9 grams
2 blocks = x grams each
⇒Total weight of 2 blocks = (x grams ) 2 = 2 x grams
So the total weight on 1 side = weight of 5 blocks combined
= 9 grams + 2x grams = (9 + 2x) grams
The total weight on other side of scale = 8 blocks times (x grams)
= (8x) grams
Now, The SCALE IS BALANCED if :
(9 + 2x) grams = (8x) grams
or, 9 + 2x = 8x
⇒9 = 8x - 2x = 6x
or, x = 9/6 = 1.5
⇒ x = 1.5 grams
Hence, the weight of unknown block on each side of the scale is
1.5 grams, so that the scale is balanced.
