Question
23. A beverage company is changing its juice package size. Currently, there are 8 ounces of juice in each package. The new package will contain 12 ounces. What percent more juice will be in the new package?
Ask by Griffin Stanley. in the United States
Feb 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The new package will have 50% more juice than the current package.
Solution
To find out what percent more juice will be in the new package compared to the current package, we can follow these steps:
1. **Identify the known values:**
- Current package size: \( C = 8 \) ounces
- New package size: \( N = 12 \) ounces
2. **Calculate the difference in juice volume:**
\[
\text{Difference} = N - C = 12 - 8 = 4 \text{ ounces}
\]
3. **Calculate the percent increase:**
The percent increase can be calculated using the formula:
\[
\text{Percent Increase} = \left( \frac{\text{Difference}}{C} \right) \times 100
\]
Substituting the values we have:
\[
\text{Percent Increase} = \left( \frac{4}{8} \right) \times 100
\]
4. **Perform the calculation:**
\[
\text{Percent Increase} = 0.5 \times 100 = 50\%
\]
Thus, the new package will contain **50% more juice** than the current package.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
To find out how much percent more juice is in the new package, we can use the formula for percent change. First, calculate the difference in ounces: 12 ounces - 8 ounces = 4 ounces. Then divide that difference by the original amount: 4 ounces ÷ 8 ounces = 0.5. Finally, multiply by 100 to convert it to a percentage: 0.5 × 100 = 50%. So the new package contains 50% more juice! A sneaky little detail here is to be mindful of the base when calculating percentages. Some folks might mistakenly calculate the increase based on the new size, which would give you a different result. Always remember to use the original value as your benchmark for accurate percentage calculations!
