Question

Suppose three people ate a meal in a restaurant. The cost of each of their meals is m. One person intends to tip 10%, the second person intends to tip 15%, and the third person intends to tip 20%. Which expression represents the total amount that they'll pay?

A. 1.1m + 1.15m + 1.2m
B. 0.1m + 0.15m + 0.2m
C. 1.1m + 2.15m + 3.2m
D. 1 + 0.1m + 1 + 0.15m + 1 + 0.2m

Answer 1

Your answer would be D

Answer 2

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:

`m + m + m = 3m\\`

Person 1:

Without tip the cost of your meal is m.

You want to pay 10% tip

m -------------------> 100%

x --------------------> 10%

`x =((10)(m))/(100) = 0.1m\\`

Thus, its cost will be:

`C1 = m + 0.1m = 1.1m\\`

Person 2:

Without tip the cost of your meal is m.

m -------------------> 100%

x --------------------> 15%

`x =((15)(m))/(100) = 0.15m\\`

Thus, its cost will be:

`C2 = m + 0.15m = 1.15m\\`

Person 3:

Without tip the cost of your meal is m.

m -------------------> 100%

x --------------------> 20%

`x =((20)(m))/(100) = 0.20m\\`

Thus, its cost will be:

`C3 = m + 0.20m = 1.20m\\`

Thus, the total cost to pay will be:

`C = 1.1m + 1.15m + 1.20m\\`

Answer:

`C = 1.1m + 1.15m + 1.20m`