Question
After a \( 5 \% \) discount, a telephone account is RI79,50. How much was the original account?
Ask by Hampton Boone. in South Africa
Feb 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The original telephone account was approximately RI83,68.
Solution
Let the original amount be X. After a 5% discount, the customer pays 95% of X. Thus, we have:
0.95X = RI79,50
To find X, divide both sides by 0.95:
X = RI79,50 / 0.95
Calculating the division:
X ≈ RI83,68
Therefore, the original telephone account was approximately RI83,68.
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
To find the original account amount before the \( 5\% \) discount, you can set up the equation where \( x \) is the original amount: \[ x - 0.05x = 79.50 \] \[ 0.95x = 79.50 \] Now, divide both sides by \( 0.95 \): \[ x = \frac{79.50}{0.95} \] \[ x = 83.68 \] Therefore, the original account amount was RI83.68. Have fun with your math explorations! It helps to visualize percentages as parts of a whole; they can unlock so many money-saving deals. Next time you shop, think about how discounts transform prices—every cent saved can contribute to your savings!