Question

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

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,

$18 \times a = 3 \times 1\\\\a = \frac{3}{18} = \frac{1}{6}$

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

$\text {number of bottles of juice are needed for 24 students }=24 \times \frac{1}{6}=4$

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

$\text {number of bottles of juice are needed for 42 students }=42 \times \frac{1}{6}=7$