Math  /  Numbers & Operations

Questiongum. It a piece of regular gum condantes 40 caloniles, beow many culories clues a piece of sugetree gom oneant?

Studdy Solution

STEP 1

What is this asking? If regular gum has 40 calories and sugar-free gum has 40% fewer calories, how many calories does the sugar-free gum have? Watch out! Don't accidentally add or subtract the percentage directly to the calories!
We need to figure out what 40% *of* 40 calories is first.

STEP 2

1. Calculate the calorie reduction.
2. Subtract the reduction from the original calorie count.

STEP 3

We know sugar-free gum has **40%** fewer calories.
Let's turn that percentage into a decimal by dividing by **100**, so 40%=40100=0.4040\% = \frac{40}{100} = 0.40.
This is our **percentage as a decimal**.

STEP 4

Now, multiply this **percentage as a decimal** by the **original calorie count** to find the **calorie reduction**: 0.4040 calories=16 calories0.40 \cdot 40 \text{ calories} = 16 \text{ calories}.
So, sugar-free gum has **16** fewer calories than regular gum.

STEP 5

We take the **original calorie count** of regular gum, which is **40** calories, and subtract the **calorie reduction** we just calculated, which is **16** calories: 40 calories16 calories=24 calories40 \text{ calories} - 16 \text{ calories} = 24 \text{ calories}.

STEP 6

A piece of sugar-free gum contains **24** calories.

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