# Question e2eed

May 27, 2017

Marie has decreased her calorie intake by 38.1%.

#### Explanation:

First, we need the amount that Marie's calorie intake has decreased

$2100 - 1300 = 800 \text{ cal}$

Marie is eating $800$ less calories than before.

Now we need to ask the question,:

"What fraction of the initial calorie intake is $800$?"

$\frac{800}{2100} = 0.3810$

$800$ calories is $0.3810$ of the initial intake, so Marie is eating $0.3810$ less than she used to.

To convert a fraction to a percentage, multiply by 100%

0.3810*100%=38.1"%"

Marie is eating 38.1% less calories than she used to.

May 27, 2017

38% decrease

#### Explanation:

To calculate the percentage change:

Step 1. Work out the difference between the two numbers you are comparing. New number minus old number.

$1300 - 2100 = - 800$

Step 2. Divide the difference by the old, original number. If your answer is a negative number then this is a percentage decrease. If it's positive, then it is a percent increase.

$\frac{- 800}{2100} \approx - 0.38$

Step 3. Multiply by 100%. Notice negative sign doesn't just magically disappear. Rather, it gets turned into the word "decrease".

-0.38xx100%=38%color(white)(aaa)#decrease.