Solve for Container Distribution: 3x, -8, and 62 Total Across Three Streets

On Zigmond street there are 3 times more containers than on Hermione street,

on High street there are 8 containers less than on Zigmond street,

in total in this neighborhood there are 62 containers, how many containers are there on Hermione street?

To solve this problem, follow these steps:

• Step 1: Set up an equation using the given relationships and the total number of containers.
• Step 2: Solve the equation to find the number of containers on Hermione street.
• Step 3: Verify the solution by checking if it satisfies all conditions given in the problem.

Step 1: The total number of containers is distributed as follows:

• Hermione street: $x$
• Zigmond street: $3x$
• High street: $3x - 8$

Write the equation for the total number of containers:

$x + 3x + (3x - 8) = 62$

Simplify the equation:

$x + 3x + 3x - 8 = 62$

$7x - 8 = 62$

Add 8 to both sides:

$7x = 70$

Divide both sides by 7 to solve for $x$:

$x = 10$

Step 2: Verify the solution:

• Zigmond street: $3x = 3 \times 10 = 30$
• High street: $3x - 8 = 30 - 8 = 22$
• Check total: $10 + 30 + 22 = 62$

All conditions are satisfied.

Therefore, the number of containers on Hermione street is 10.

By matching with answer choice 3: $\text{(30, 10, 22)}$, this choice is consistent.