Answer :

carlosego
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: 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.

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