Will the product of two numbers increase or decrease and by what percent if one of them is increased by 50%, and the other is decreased by 50%?
(1.5A)*(0.5B) = 0.75AB.
0.75AB/AB = 0.75 = 75%.
100% - 75% = 25% Decrease.
1.5*0.5= 0.75
1-0.75= 0.25
decrease by 25%
To determine how the product of two numbers will change when one of them is increased by 50% and the other is decreased by 50%, we can follow these steps:
1. Let's assume the two numbers are x and y.
2. If one number is increased by 50%, it becomes 1.5 times its original value. So, the first number becomes 1.5x.
3. If the other number is decreased by 50%, it becomes 0.5 times its original value. So, the second number becomes 0.5y.
4. The product of these two numbers is (1.5x) * (0.5y) = 0.75xy.
5. Comparing the new product (0.75xy) with the original product (xy), we can calculate the percentage change by using the formula: (New Value - Original Value) / Original Value * 100%.
6. Substituting the values, (0.75xy - xy) / xy * 100% = (-0.25xy) / xy * 100% = -25%.
Therefore, the product of the two numbers will decrease by 25%.