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
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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.
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Answer 3

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

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

[ \frac{5}{8} = \frac{60}{x} ]

Cross-multiplying gives:

[ 5x = 8 \times 60 ] [ 5x = 480 ] [ x = \frac{480}{5} ] [ x = 96 ]

Therefore, 96 students were surveyed.

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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.

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