In the product, the first multiplier was increased by 100%, and the second was decreased by 50%.

In the product, the first multiplier was increased by 100%, and the second was decreased by 50%. How will the work change?

1. Let’s denote the first factor by the variable x, and the second – by the variable y. Their product is xy.

2. Find x after increasing it by 100%.

x + x / 100% × 100% = x + x = 2x.

3. Find y after decreasing it by 50%.

y – y / 100% × 50% = y – 1 / 2y = 1 / 2y.

4. Find the product of the factors after changing them.

2x × 1 / 2y = (2 × 1/2) xy = xy.

5. Let’s compare the original work with the new one.

xy = xy.

Answer: if one multiplier is increased by 100%, and the second is reduced by 50%, their product will not change.