Question

The Atlanta Falcons scored 13 more points than twice the number of points that the Miami Dolphins scored. Altogether, the teams scored 43 points. How many points did the Dolphins score? Is 21 a viable solution to this problem?

Yes, because 21 points is less than the total number of points scored
No, because 2(21) + 13 ≠ 43
Yes, because 21 points is less than the number of points Atlanta scored
No, because 2(21) ≠ 43

Answer 1

No, because 2(21) + 13 is not equal to 43.

The Dolphins scored 10 points.

Explanation:

A = 13 + 2D

43 = 13 + A + D

43 = 13 + 3D

43 - 13 = 30

30 = 3D

30/3 = 10

D = 10

A = 13 + 2(10)

A = 33

D + A = 43

33 + 10 = 43

Therefore, the Atlanta Falcons scored 33 points which is 13 points more than twice what the Dolphins scored.