Question

If x is the starting number and y represents the final result, which equation is equivalent to the number puzzle? [ Pick a number. Add 10 to the number. Multiply the result by 5. Subtract 70. Divide by 5.]

A) (x + 10) * 5 - 70 / 5
B) (x - 10) * 5 + 70 / 5
C) (x + 10) * 5 + 70 / 5
D) (x - 10) * 5 - 70 / 5

Answer 1

The correct equation for the given number puzzle is option A: (x + 10) * 5 - 70 / 5. This represents a series of operations applied to a starting number x to arrive at a final result y.

Step-by-step explanation:

If x is the starting number and y represents the final result, the correct equation that represents the given number puzzle is:

A) (x + 10) * 5 - 70 / 5

Let's break down the puzzle step by step:

1. Pick a number (x).
2. Add 10 to this number (x + 10).
3. Multiply the result by 5 ((x + 10) * 5).
4. Subtract 70 from the result of the multiplication (((x + 10) * 5) - 70).
5. Finally, divide this result by 5 ((((x + 10) * 5) - 70) / 5).

After performing these operations, we get the equation (x + 10) * 5 - 70 / 5 which simplifies to y = (5x + 50 - 70)/5, which becomes y = 5x - 4. This is a step-by-step explanation of starting with a number x and ending with a result y.

The final answer to the number puzzle is Option A.