160 = 2 x 2 x 2 x 2 x 2 x 5 = 2^5 x 5
243 = 3 x 3 x 3 x 3 x 3 = 3^5
So
(160 * 243)^1/5
= 5th root of (160 * 243)
= 5th root of (2^5 * 5 * 3^5)
= 2 * 3 * (5th root of 5)
= 6 * (5th root of 5)
Answer is D. 6 * (5th root of 5)
The answer is 24 . 180-68= 112 then you -16 soo it would be 96. then you divide by 4 soo 96/4 would be 24 .
I will do it and send it to you in 12 hours
Number of bottles of juice are needed for 24 students = 4
Number of bottles of juice are needed for 42 students = 7
<h3><u>Solution:</u></h3>
Given that cafeteria worker knows that it takes 3 bottles of juice to serve a table of 18 students
<em><u>To find :</u></em>
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,

<h3><em><u>
Finding number of bottles of juice are needed for 24 students:</u></em></h3>
number of bottles of juice are needed for 24 students = 24 x number of bottle required for 1 student

<h3><em><u>
Finding number of bottles of juice are needed for 42 students:</u></em></h3>
number of bottles of juice are needed for 42 students = 42 x number of bottle required for 1 student
