Question

A cafeteria worker knows that it takes 3 bottles of juice to serve

a table o 18 students. How many bottles of juice are needed for

24 students? how many bottles of juice are needed for 42 students?
Answer in at least 3 complete sentences.

Answer 1

Number of bottles of juice are needed for 24 students = 4

Number of bottles of juice are needed for 42 students = 7

Solution:

Given that cafeteria worker knows that it takes 3 bottles of juice to serve a table of 18 students

To find :

1) Number of bottles of juice are needed for 24 students

2) Number of bottles of juice are needed for 42 students

Since its given that 3 bottles of juice to serve a table of 18 students

So, number of bottles required for one student is given as:

Let "a" be the number of bottles required for one student

18 students ⇒ 3 bottles

1 student ⇒ "a" bottles

On cross multiplication we get,

`18 * a = 3 * 1\\\\a = (3)/(18) = (1)/(6)`

Finding number of bottles of juice are needed for 24 students:

number of bottles of juice are needed for 24 students = 24 x number of bottle required for 1 student

`\text {number of bottles of juice are needed for 24 students }=24 * (1)/(6)=4`

Finding number of bottles of juice are needed for 42 students:

number of bottles of juice are needed for 42 students = 42 x number of bottle required for 1 student

`\text {number of bottles of juice are needed for 42 students }=42 * (1)/(6)=7`