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

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

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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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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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