Question

Pam likes to practice dancing while preparing for a math tournament. She spends 80 minutes every day practicing dance and math. To help her concentrate better on math, she spends 20 minutes more dancing than doing math.

Part A: Write a pair of linear equations to show the relationship between the number of minutes Pam practices math every day (x) and the number of minutes she practices dances every day (y).

Part B: How much time does Pam spend on practicing math every day?

Part C: Is it possible for Pam to have spent 60 minutes practicing dance every day? Explain your reasoning.

Answer 1

i only need part c

Answer 2

Do you have the answers to the parts A and B because that would be extremely helpful.

Answer 3

Well, let's think about part C for a minute. I think we can use common sense to get this answer. :)

Answer 4

The question tells us that she spends 20 minutes more dancing than doing math.

Answer 5

So, think about it this way. Let's say she did math for 10 minutes. Then she would have danced for 30 minutes right? That's 20 minutes more than 10 minutes.

Answer 6

Now, part C supposes that maybe she danced for 60 minutes. Well, then she must have done 40 minutes of math. 60 is 20 more than 40.

Answer 7

But that causes a BIG problem! Because the question tells us that she only spends 80 minutes a day doing dancing and math.

But if she danced for 60 minutes, then she must have done math for 40 minutes (20 less), which means she did dancing and math for 100 minutes not 80. That's a problem.

So, no. There is no way she could have danced for 60 minutes.

Answer 8

Does that help at all @simpleme? Any questions that would help clarify something I said? :)

Answer 9

@jtvatsim yes thank you :)