Solve.
-The sum of a student's three scores is 208. If the first is 11 points more than the second, and the sum of the first two is 19 more than twice the third, what was the first score?
A)63
B)67
C)52
D)78

Question

Quizplus · Accepted Answer

Let's call the second score "x". According to the problem, the first score is 11 more than the second, so the first score is x+11.

We also know that the sum of the first two scores is 19 more than twice the third score. Let's call the third score "y". Then we can write an equation:

x + (x+11) = 2y + 19

Simplifying this equation, we get:

2x + 11 = 2y + 19

2x - 2y = 8

x - y = 4

Now we have two equations:

x + (x+11) + y = 208

x - y = 4

We can use substitution to solve for x and y:

x + (x+11) + (x-4) = 208

3x + 7 = 208

3x = 201

x = 67

Now we know that the second score is 67, and the first score is 11 more than that, so the first score is:

67 + 11 = 78

Therefore, the answer is D (78).

Solve. -The Sum of a Student's Three Scores Is 208. If