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.

Step-by-step 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,

$2x=\ 52.20\\\\x=\frac{52.20}{2}=\ 26.1$

So, Total cost of the meal is given by

$2x+3x=5x\\\\5x=5\times 26.1\\\\5x=\ 130.5$

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