For this case we have:
m represents the total cost of each meal. If people do not pay a tip, the total cost to pay would be:
[tex]m + m + m = 3m\\[/tex]
Person 1:
Without tip the cost of your meal is m.
You want to pay 10% tip
m -------------------> 100%
x --------------------> 10%
[tex]x =\frac{(10)(m)}{100} = 0.1m\\[/tex]
Thus, its cost will be:
[tex]C1 = m + 0.1m = 1.1m\\[/tex]
Person 2:
Without tip the cost of your meal is m.
m -------------------> 100%
x --------------------> 15%
[tex]x =\frac{(15)(m)}{100} = 0.15m\\[/tex]
Thus, its cost will be:
[tex]C2 = m + 0.15m = 1.15m\\[/tex]
Person 3:
Without tip the cost of your meal is m.
m -------------------> 100%
x --------------------> 20%
[tex]x =\frac{(20)(m)}{100} = 0.20m\\[/tex]
Thus, its cost will be:
[tex]C3 = m + 0.20m = 1.20m\\[/tex]
Thus, the total cost to pay will be:
[tex]C = 1.1m + 1.15m + 1.20m\\[/tex]
Answer:
[tex]C = 1.1m + 1.15m + 1.20m[/tex]
