Which expression represents the number of parents?

A problem states: "There are 9 more children than parents in a room. There are 25 people in the room in all. How many children are there in the room?"

Let c represent the number of children.

Which expression represents the number of parents?

A. c⋅9

B. c + 9

C. c−9

D. 9−c

Answer 1

See a solution process below:

We are letting #c# represent the number of children in the room.
We can let #p# represent the number of parents in the room.

From the problem we can write:

1 #c = p + 9#
2 #c + p = 25#
Step 1) Because equation 1 is already solved for #c# we can substitute #(p + 9)# for #c# into the second equation and solve for #p#:
#c + p = 25# becomes:
#(p + 9) + p = 25#
#p + 9 + p = 25#
#p + p + 9 = 25#
#1p + 1p + 9 = 25#
#(1 + 1)p + 9 = 25#
#2p + 9 = 25#
#2p + 9 - color(red)(9) = 25 - color(red)(9)#
#2p + 0 = 16#
#2p = 16#
#(2p)/color(red)(2) = 16/color(red)(2)#
#(color(red)(cancel(color(black)(2)))p)/cancel(color(red)(2)) = 8#
#p = 8#
Step 2) We now know there are #8# parents in the room. We can substitute #8# for #p# in the first equation and calculate the number of children.
#c = p + 9# becomes:
#c = 8 + 9#
#c = 17#

The are 17 children in the room.

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Answer 2

The expression "2p" represents the number of parents, where "p" is the number of families.

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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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