SOLUTION: In a laboratory, there were just enough microscopes, test tubes, and calculators so that every 3 students had to share a microscope, every 4 students had to share a test tube, and

Question 370930: In a laboratory, there were just enough microscopes, test tubes, and calculators so that every 3 students had to share a microscope, every 4 students had to share a test tube, and every 5 students had to share a calculator. If the sum of the number of microscopes, test tubes, and calculators used by the class was 94, how many students were in the class?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a laboratory, there were just enough microscopes, test tubes, and calculators so that every 3 students had to share a microscope, every 4 students had to share a test tube, and every 5 students had to share a calculator. If the sum of the number of microscopes, test tubes, and calculators used by the class was 94, how many students were in the class?
-----
# of microscopes = x/3
# of test tubes = x/4
# of calculators = x/5
Solve:
x/3 + x/4 + x/5 = 94
--
Multiply thru by 60 to get:
20x + 15x + 12x = 60*94
---
47x = 60*94
x = 60*2
x = 120 (# of students)
------------
Cheers,
Stan H.

Answer: 120 students
RELATED QUESTIONS
I am having difficulty computing two more possibilities for the equation 15x+7.50y= 360.... (answered by Alan3354)

During dinner, the guess were told to share dishes with one another. Every two of them... (answered by addingup)

A number of students decided to split a purchase of $120. However, 20 students failed to... (answered by josgarithmetic)

There are 100 people in a room, including only teachers and students. They are trying to... (answered by Edwin McCravy)

2.A local landscape company had a 1-week sale. On Monday,Mrs.Jones had $82 to... (answered by stanbon)

In a large class, 80 students took a test. When the test papers were graded, it was founf (answered by akmb1215)

For their field studies in marine ecology, a group of students rented a boat for P360.... (answered by ankor@dixie-net.com)

Please help me with this one. In previous test, baseballs were dropped 24ft. onto a... (answered by stanbon)

The scores on a standardized test had mean μ = 2.818 and standard deviation σ=... (answered by stanbon)