Ernesto and his family have just finished dinner at a restaurant in a region where the meal tax is 6% of the price of the meal. Ernesto leaves an 18% tip. With tax and tip the total cost is $72.39.

A) write the equation that models this situation

B) use your equation to find the price of the meal without tax or tip

A) let P be the price of the meal before tax and tip. tax is. 06P, so the total for the meal and tax is 1.06P The tip is. 18P. so the total he spent

72.39=1.06P+.18P= 1.24P

B) 1.24P=72.39
P=72.39/1.24
P=58.38 with some tiny rounding error

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adioabiola adioabiola · Answer 2 · 2021-09-28T12:21:39+02:00

We are required to find the equation that models the situation and find cost of the meal without tax and tip

let

x = price of the meal before tax

Tax = 6% of x

= 0.06x

Tip = 18% of x

= 0.18x

Total cost with tax and tip = $72.39

The equation:

72.39 = x + 0.06x + 0.18x

72.39 = 1.24x

Divide both sides by 1.24

x = 72.39 / 1.24

x = 58.379032258064

Approximately,

x = $58.4

The equation which models the situation is 72.39 = x + 0.06x + 0.18x and cost of the meal without tax and tip is $58.4