Answer:
62.5%
Step-by-step explanation:
so a * b = ab
ok... now, if we reduce "a" by 25%, that means the new size is just 75% of the old one, how much is 75% of a? well, (75/100) * a, or 0.75a
now let's reduce "b" by 50%, that means the new size is 50% or half, how much is 50% of b? well (50/100)*b, or 0.5b
now, the new size of "ab" is just 0.375ab... well, let's revert the decimal format by simply multiplying by 100
0.375 * 100, is 37.5%
the new size of "ab" is just 37.5% of the original "ab"
it decreased by 100 - 37.5 or 62.5%
When the numbers decrease, the value of the product decreases by a 62.5%.
Ok, we start with two numbers, let's say X and Y.
The product is written as: X*Y.
Now, let's say that we decrease X by 25% and Y by 50%, then we have:
X' = X - 0.25*X = 0.75*X
Y' = Y - 0.5*Y = 0.5*Y
Now, the new product will be:
X'*Y' = (0.75*X)*(0.5*Y) = 0.375*X*Y
and X*Y was the original product, so the new product is 0.375 times that which is equivalent to say that the new product is 37.5% of the original one.
100% - 37.5% = 62.5%
This means that the product decreases by a 62.5%
If you want to learn more about percentages, you can read:
https://brainly.com/question/843074
