Question

Devon has 14 steel balls of equal weight. If he puts 8 of them in one pan of a balance, and the rest along with a weight of 20 grams in the other pan, the pans balance each other. Which equation can be used to find the weight of each steel ball?

A) 8x = 26x
B) 8x = 120x
C) 8x + 20 = 6x

D) 8x = 6x + 20

Answer 1

its D because lets just say 1 ball steel is 10 grams so it be 80 grams total 14 -8 gives you 6 and they are 60 grams total.when you add the 60 and 20 grams you get 80 so its D

Answer 2

D)
`8x=6x+20`

Explanation:

For the pans to balance each other they must have both equal weight on them, this can be described in an equation like this:

Weight on side A=Weight on side B

It is described for us the weight on each side:

-The weight on side A will be the weight of 1 ball eight times( because we have 8 balls of the same weight). Lets say the weight of one ball is
`x` so it will be like this:

Weight on side A
`=8x`

-The weight on side B will be the weight of 1 ball 6 times (becasue we have 6 balls of the same weight) plus 20 grams that we added to balance the pans and make them equal so it will be like this:

Weight on side B
`=6x+20`

Now replacing on the first eqation we would have:

`8x=6x+20`