A girl’s bicycle is reduced to $198 after a discount of 20%. To determine the originalprice, Jane thinks that she needs to calculate 20% of $198 and add the result to$198. Tim thinks that Jane has it wrong and that the calculation is more complex.Which person do you think is correct? Show working to support your answer
Question
A girl’s bicycle is reduced to 198 and add the result to$198. Tim thinks that Jane has it wrong and that the calculation is more complex.Which person do you think is correct? Show working to support your answer
Solution
Tim is correct. Here's why:
The original price of the bicycle is not known, but we do know that it was reduced by 20% to become 198 is 80% of the original price, not 100%.
Let's denote the original price as X.
According to the problem, 80% of X is $198. We can express this as a mathematical equation:
0.80X = $198
To solve for X (the original price), we need to divide both sides of the equation by 0.80:
X = $198 / 0.80
X = $247.5
So, the original price of the bicycle was 198 to $198 would have given an incorrect answer.
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