# Thread: I need help with the equation part

1. ## I need help with the equation part

During a recent basketball game, the Miami Heat scored 26 fewer points than the Orlando Magic. Together, both teams scored a total of 182 points. How many points did each team score?

a) Write the equation you would use to solve this problem, using ${m}$ as Orlando Magic's score. __________

b) After solving the equation, what is the Miami Heat's score? _______________

c) After solving the equation, what is the Orlando Magic's score? ____________

2. ## Re: I need help with the equation part

If we let $\displaystyle h$ represent the Miami Heat's score and $\displaystyle m$ represent the Orlando Magic's score, how can we get two equations that relate the two variables from:

"Miami Heat scored 26 fewer points than the Orlando Magic"

"Together, both teams scored a total of 182 points"

Can you translate these statements into equations?

3. ## Re: I need help with the equation part

Originally Posted by MarkFL2
If we let $\displaystyle h$ represent the Miami Heat's score and $\displaystyle m$ represent the Orlando Magic's score, how can we get two equations that relate the two variables from:

"Miami Heat scored 26 fewer points than the Orlando Magic"

"Together, both teams scored a total of 182 points"

Can you translate these statements into equations?

I did that already, it still showed it was incorrect.

4. ## Re: I need help with the equation part

What were your equations?

M-26=182

6. ## Re: I need help with the equation part

As you know, that is incorrect.

"Miami Heat scored 26 fewer points than the Orlando Magic"

Thus tell us that 26 fewer than $\displaystyle m$ is equal to $\displaystyle h$, or:

$\displaystyle h=m-26$

"Together, both teams scored a total of 182 points"

This tells us that the sum of the scores is 182, or:

$\displaystyle h+m=182$

Now, to get an equation in one variable, we may take the first equation, which is already solved for $\displaystyle h$ and substitute into the second equation:

$\displaystyle m-26+m=182$

Can you now simplify this and solve for $\displaystyle m$?

7. ## Re: I need help with the equation part

M-26+m=182
+26 +26
_________________
M+M=208
2m/2 =208/2
M=104

8. ## Re: I need help with the equation part

Correct!

Now you may use the first equation to get the value for h.

Ty : )