Steven has 14 steel balls of equal weight. If he puts 9 of them in one pan of a pan balance and the rest along with a weight of 20 grams in the other pan, the pans balance each other. What is the weight of one steel ball? A) 5 grams B) 14 grams C) 20 grams D) 0.65 grams

Option A - 5 grams

Step-by-step explanation:

9 balls in one side

= 5 balls other side with 20 gram

5 + 4 balls one side

= 5 + 20 grams other side

5 + 4 balls

= 5 balls + 20/4

5 gm of I ball weight 9 * 5 = 45

5 * 5 + 20

= 45

b = 5 grams

Step-by-step explanation:

Let b represent the weight of one ball.

Then 9b = 20 grams + 5b.

Solving for b, subtract 5b from both sides, obtaining 4b = 20 grams.

Then b = the weight of one steel ball = 5 grams.

Check: Does 9 (5 grams) = 20 grams + 5 (5 grams) ?

Does 45 grams = 45 grams? YES