64.3k views
22 votes
There are two labeled weights of 4 grams and 12 grams. The three circles each have the same weight. what is the weight of each circle in grams? show your thinking

User Expoter
by
5.2k points

2 Answers

8 votes

Answer:

8/3

Explanation:

This hanger is in balance. there are 2 labeled weights of 4 grams and 12 grams the 3 circles have the same weight.

We have to determine,

What is the weight of each circle?​

According to the question,

Let the weight of each circle be x.

This hanger is in balance. there are 2 labeled weights of 4 grams and 12 grams the 3 circles have the same weight.

The hanger is in the balanced state then the sum of all weight of the left-hand side is equal to the sum of all weight of the right-hand side.

Left hand side weight = x+ x + x+ 4 = 3x+4

Right hand side weight = 12

Then,

The hanger is in a balanced state, the weight of each circle is given by,

The weight of the left-hand side = the weight of the right-hand side

The value of x is 8/3.

Hence, The weight of each circle is 8/3.

User Ibn Saeed
by
4.5k points
10 votes

I think the right Answer 8/3

User Cdarwin
by
4.6k points