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? Each friend paid $8. 50 for the food and $1. 50 for the tip. Each friend paid $10. 00 for the food and $6. 00 for the tip. Each friend paid $8. 50 for the food and $6. 00 for the tip. Each friend paid $10. 00 for the food and $1. 50 for the tip.

Answer 1

The amount each friend paid for food is $8. 50 for the food and $1. 50 for the tip.

What is division?

The division is one of the most basic mathematical operators. It is used when a number is to be distributed equally in n number of parts.

As it is given that the total of 4 friends went to the lunch, the total amount paid by them is $40, but the food bill was just $34, therefore, the rest of the amount was paid in the tip. If we calculate the tip,

Tip = Total spent - Food bill

Tip = $40 - $34

Tip = $6

Now, as it is that the total amount spend by all on the food is $34, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,

$\text{Total amount to be paid by each friend}=\dfrac{\text{Total amount spent by all on food}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\ 34}{4}\\\\\text{Total amount to be paid by each friend}=\ 8.5$

Further, the total amount tip by all is $6, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,

$\text{Total amount to be paid by each friend}=\dfrac{\text{Total Tip}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\ 6}{4}\\\\\text{Total amount to be paid by each friend}=\ 1.5$

Hence, the amount each friend paid for food is $8. 50 for the food and $1.50 for the tip.

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