The Buffalo Bills scored 24 more than twice the number of points that the Miami Dolphins scored. Altogether, the teams scored 66 points. How many points did each team score

Answer 1

B = Buffalo Bills Points

M = Miami Dolphin Points

From the given problem we have the two equations:

Equation 1: B + M = 66

Equation 2: B = 2M+ 24

You want to isolate and solve for one variable first, therefore, we will plug Equation 2 into Equation 1.

(2M+24) + M = 66

-24 -24

2M + M = 42

3M = 42

3M/3 = 42/3

M = 14

Now that we know by solving for M that the Miami Dolphins scored 14 point, let's plug this information into Equation 1 again to solve for B.

B + (14) = 66

-14 -14

B = 52

Now we know that the Miami Dolphins scored 14 points and the Buffalo Bills scored 52 Points. To double check your work you can plug both of the solved variables into Equation 2.

52 = 2(14) + 24

52 = 28 + 24

52 = 52

Answer 2

Let Buffalo's score = B, Miami's score = M

B = 2*M + 24 (Buffalo's score is 24 more than twice Miami's score)

B + M = 66 (Sum of the scores is 66)

Solve the 2nd equation for M by subtracting

B from both sides.

B + M = 66

-B -B

------------------

M = 66 - B

Substitute M into the first equation

B = 2 (66-B) + 24

B = 132 - 2B + 24

B = 156 - 2B

+2B +2B Add 2B to both sides

------------------

3B = 156

--- ---- Divide both sides by 3

3 3



B = 52

and

M = 66-B

M = 66-52

M = 14

Plug back into equations

as a check.