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Oliga [24]
3 years ago
13

Diners frequently add a 15% tip when charging a meal to a credit card. What is the price of the meal without the tip if the amou

nt charged is $
Mathematics
1 answer:
yuradex [85]3 years ago
6 0

Question:

Diners frequently add a​ 15% tip when charging a meal to a credit card. What is the price of the meal without the tip if the amount charged is ​$20.70? How much was the​ tip?

Answer:

Price of meal = $18

Tip price = $2.70

Step-by-step explanation:

Let the price of the meal be <em>y</em>;

Let the tip be <em>t</em>

<em></em>

<em>From the question;</em>

15% of <em>y </em>is the tip charge (<em>t</em>). i.e

t = 15%y

=> t = 0.15y          --------(i)

<em>The total amount charged is $20.70  (This means that the sum of the price of the meal and the tip is $20.70)</em>

=> y + t = 20.70            [substitute the value of t=0.15y from equation (i)]

=> y + 0.15y = 20.70

=> 1.15y = 20.70

=> y = \frac{20.70}{1.15}

=> y = $18

Therefore the price of the meal, y, is $18.

From equation (i),

t = 0.15y           [substitute the value of y = $18]

t = 0.15(18)

t = $2.70

Therefore the tip was $2.70

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