Question

On a balanced scale are a 25-g mass, a 100-g mass, and five identical blocks marked X as shown. What is the mass of each block marked X? Write an equation illustrated by this balanced scale. I really need help with this.

Answer 1

Answer:

One block - 15

Two blocks - 30

Three blocks - 45

Four blocks - 60

Five blocks - 75

Equation: 25 + 5x = 100

Step-by-step explanation:

This is a pretty simple problem. The scale is balanced and from what we know, the 100 and 25 are on different sides. If we want the scale to be balanced, then we have to solve the equation:

25 + 5x = 100.

(We have the 5x because we have 5 blocks that are marked as x)

subtract 25 from both sides

25-25 + 5x = 100-25

5x = 75

the following step is to divide both sides by 5.

5x/5 = 75/5

x = 15

Now that the equation is solved, we know that ONE blocked marked as X equals 15-g.

(All five of them equal 75-g)