Question

A group of 4 friends went to lunch and spent a total of $40, which included the $34 food bill and the tip. They decided to split the bill and tip evenly among themselves.

One of the friends used the equation One-fourth (t + 34) = StartFraction 40 over 4 EndFraction to represent the situation, where t represents the total amount of the tip. Which describes the amount each friend paid for the food and for the tip?

Answer 1

A) Each friend paid $8.50 for the food and $1.50 for the tip.

Answer 2

The individually paid $1.5 for the tip and $8.5 for the food

Explanation:

Total money spent = $40

Food bill = $34

if the situation is represented by the equation
`(1)/(4)(t+34) = (40)/(4)` where t is the amount of the tip, the amount for the tip can be calculated as shown;

`(1)/(4)(t+34) = (40)/(4)\\ t+34 = 40\\t = 40-34\\t = 6`

Amount of the tip = $6

If they decided to split the bill and tip evenly among themselves, amount paid by each friend for the food and the tip can be gotten using the equation representing the situation where t = $6 as shown;

`= (1)/(4)(t+34) \\= (1)/(4)(6+34)\\= (1)/(4)(6)+(1)/(4)(34)\\= 1.5+8.5\\`

From the result above, it can be seen that each friend paid $1.5 for their tip and $8.5 for their food