Question

If 2 people share a cost of a meal in the ratio of 2:3 and 1 person pays £52.20. What is the total cost of the meal ?

Answer 1

Answer: The total cost of the meal is $130.5.

Explanation:

Since we have given that

Number of people who share a cost of a meal = 2

In the given ratio = 2:3

Let the cost of first person is paid is given by

`2x`

Let the cost of second person is paid is given by

`3x`

According to question, First person pays $52.20.

Then, it becomes,

`2x=\$52.20\\\\x=(52.20)/(2)=\$26.1`

So, Total cost of the meal is given by

`2x+3x=5x\\\\5x=5* 26.1\\\\5x=\$130.5`

Hence, the total cost of the meal is $130.5.

Answer 2

For this case the first thing we must do is define variables.
Whe have then:
x: payment of the person 1
y: payment of the person 2
We then have the following system of equations:

`x / y = 2/3 x = 52.20`
We have then that the value of y is:

`y = 78.3`
Then, the cost of the food is:

`x + y = 78.3 + 52.20 = 130.5`
Answer:
The cost of the food is:
130.5