Question

Question #e2eed

Answer 1

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 " 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`?"

`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.

Answer 2

`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.

`(-800)/(2100)~~-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.