The expression 0.7(1.25 p) represents the amount Amadou paid for dinner at a restaurant after he applied a discount coupon and added tip. Which changes to the original price could have resulted in the expression? 25% tip and then a discount of 30% 0.25% tip and then a discount of 0.7% A discount of 70% and then 125% tip A discount of 30% and then 0.25% tip

Question

The expression  0.7(1.25 p) represents the amount Amadou paid for dinner at a restaurant after he applied a discount coupon and added tip. Which changes to the original price could have resulted in the expression?  25% tip and then a discount of  30%  0.25% tip and then a discount of  0.7% A discount of  70% and then  125% tip A discount of  30% and then  0.25% tip

Bytelearn · Accepted Answer

Analyze Expression: Let's analyze the expression 0.7(1.25 p) to understand what it represents in terms of a discount and a tip applied to the original price p.Distribute 0.7: First, we can distribute the 0.7 inside the parentheses to get 0.7 * 1.25 * p.Calculate 0.875: The multiplication 0.7 * 1.25 gives us 0.875. So the expression becomes 0.875 * p.Find Discount Percentage: The number 0.875 is less than 1, which indicates that a discount was applied to the original price p before adding the tip. To find the percentage of the discount, we subtract 0.875 from 1 and then multiply by 100. 1 - 0.875 = 0.125 0.125 * 100 = 12.5% This means a discount of 12.5% was applied to the original price.Consider Tip: Now, let's consider the tip. The expression 1.25 * p suggests that a tip was added to the original price. To find the percentage of the tip, we subtract 1 from 1.25 and then multiply by 100. 1.25 - 1 = 0.25 0.25 * 100 = 25% This means a 25% tip was added after the discount.Compare Options: Now we need to compare our findings with the given options to see which one matches our calculations.Match Calculations: The correct option that matches our calculations is a discount of 12.5% (which is not explicitly given in the options but is the complement of 87.5% to 100%) and then a 25% tip. None of the provided options exactly match our calculations, but the closest one in terms of the process (discount followed by a tip) is the first option: ＂25% tip and then a discount of 30%.＂ However, the percentages do not match our findings.

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