When surveyed, 5 out of every 8 students liked the food in the cafeteria. If 60 liked the food, how many were surveyed?

Answer 1

#96 #students surveyed.

5 students out of every 8 students asked liked the food. 60 students liked the food.

This tells us that 60 students represents 5 parts of the whole. We can find out how many there are in 1 part.

#60div 5 = 12#

1 part is 12 students. The whole is made up of 8 parts.

#8xx12 = 96 # is the whole number of students surveyed.
Check: #5/8 xx 96 = 60# students
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

#96# students were surveyed.

In the survey of the #color(red)?# students having food in a cafeteria,
#60# students were found to have liked food
i.e. the ratio was found to be #60/color(red)?#
But this was #5# out of every #8#
Hence, #60/color(red)?=5/8#
or #color(red)?xx5=60xx8#
and #color(red)?=60xx8/5=12cancel(60)xx8/(1cancel5)#
= #12xx8=96#
So #96# students were surveyed.
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 3

If 5 out of every 8 students liked the food, then the proportion of students who liked the food is 58 \frac{5}{8} .

If 60 students liked the food, we can set up a proportion to find the total number of students surveyed, x x :

58=60x\frac{5}{8} = \frac{60}{x}

Cross-multiplying gives:

5x=8×605x = 8 \times 60 5x=4805x = 480 x=4805x = \frac{480}{5} x=96x = 96

Therefore, 96 students were surveyed.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7