Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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 ?

Sagot :

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.

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.