Solve for x: 50x = 3500. Express it in percent: 0.7995.
The correct answer and explanation is:
To solve the equation and interpret it as a percentage, let’s go step-by-step.
Step 1: Solve for x
We are given: 50x=350050x = 3500
To isolate xx, divide both sides by 50: x=350050x = \frac{3500}{50} x=70x = 70
Step 2: Express as a percentage
You are also given the number 0.7995, and asked to express it as a percent.
To convert a decimal to a percentage, multiply by 100: 0.7995×100=79.95%0.7995 \times 100 = 79.95\%
✅ Final Answers:
- x = 70
- 0.7995 as a percent = 79.95%
📚 Explanation (300 words):
In this problem, we are solving a basic linear equation and converting a decimal to a percentage.
First, we’re given the equation 50x = 3500, where a number (x) is multiplied by 50 to equal 3500. This type of equation is straightforward because it involves only one variable. To find x, we perform inverse operations—in this case, division. Since x is being multiplied by 50, we divide both sides of the equation by 50: x=350050=70x = \frac{3500}{50} = 70
This tells us that multiplying 70 by 50 gives 3500, which confirms our answer is correct.
Next, we’re asked to convert the decimal 0.7995 into a percent. To do this, we use a standard rule: multiply the decimal by 100 to shift the decimal point two places to the right. So: 0.7995×100=79.95%0.7995 \times 100 = 79.95\%
This means that 0.7995 represents 79.95 percent of a whole.
Understanding how to convert between decimals and percentages is essential in everyday math, especially in financial calculations, statistics, and data interpretation. For example, if a test score is 0.7995 (on a scale of 1), it means you scored 79.95% of the total points—just under 80%.
Combining equation solving and percentage conversion helps develop strong problem-solving skills and logical reasoning, which are valuable in both academics and real-life applications like budgeting or calculating discounts.