Roberto takes his family to dinner at a local restaurant. The meal costs $96.50 before the 7% tax is added. Robert wants to leave a tip of at least 15%, but no more than 18%. He always calculates the tip on the cost of the food before the 7% tax is added which amount would not be possible total, in clouding the tip and taxes.
A.117
B.118
C.119
D.120
First, we need to calculate the cost of the meal after adding the 7% tax:
$96.50 + ($96.50 x 0.07) = $103.51
Next, we need to calculate the minimum and maximum tip amounts based on Roberto's criteria:
Minimum tip: $96.50 x 0.15 = $14.48
Maximum tip: $96.50 x 0.18 = $17.37
Now we add the cost of the meal and the minimum and maximum tip amounts:
Cost of meal + minimum tip: $103.51 + $14.48 = $117.99
Cost of meal + maximum tip: $103.51 + $17.37 = $120.88
Since these totals both include the tax and tip, we need to round down to the nearest dollar to find the answer. Therefore, the correct answer is (C) 119.
To find the amount that would not be possible, we first need to calculate the range of tip percentages that Roberto wants to leave.
15% of the meal cost before tax = 0.15 * $96.50 = $14.48
18% of the meal cost before tax = 0.18 * $96.50 = $17.37
Now, we add the tax to the meal cost:
Meal cost with tax = $96.50 + (7% * $96.50) = $103.36
Next, we calculate the possible total amounts within the specified tip range:
Minimum tip amount = $103.36 + $14.48 = $117.84
Maximum tip amount = $103.36 + $17.37 = $120.73
Now, we check which option falls outside this range:
A. $117 falls within the range
B. $118 falls within the range
C. $119 falls within the range
D. $120 falls within the range
Therefore, the answer is D. $120.