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 ?

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:
[tex] x / y = 2/3 x = 52.20 [/tex]
We have then that the value of y is:
[tex]y = 78.3 [/tex]
Then, the cost of the food is:
[tex]x + y = 78.3 + 52.20 = 130.5 [/tex]
Answer:
The cost of the food is:
130.5

Answer Link

RenatoMattice RenatoMattice · Answer 2 · 2019-02-13T03:22:50-05:00

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

[tex]2x[/tex]

Let the cost of second person is paid is given by

[tex]3x[/tex]

According to question, First person pays $52.20.

Then, it becomes,

[tex]2x=\$52.20\\\\x=\frac{52.20}{2}=\$26.1[/tex]

So, Total cost of the meal is given by

[tex]2x+3x=5x\\\\5x=5\times 26.1\\\\5x=\$130.5[/tex]

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