Question

In the final exam, Derry got a total of 197 points in english and science, a total of 199 points in english and math, and a total of 196 points in math and science. Out of these 3 subjects, in which subject did derry get the highest score and how many points did he score in the subject?

Answer 1

• English: 100 points

Explanation:

You want to know Derry's score in his best subject if Derry got a total of 197 points in english and science, a total of 199 points in english and math, and a total of 196 points in math and science.

Equations

We can write equations for Derry's scores:

e + s = 197

e + m = 199

m + s = 196

Solution

One value can be found by adding two of the equations and subtracting the third.

2e = (e+s) +(e+m) -(m+s) = 197 +199 -196

e = 200/2 = 100

Now two of the equations can be used to find the other scores:

s = 197 -e = 97

m = 199 -e = 99

Derry's highest score was 100 in the subject of English.

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Additional comment

The order of the variables in the attached matrix solution is English, Science, Math. That is their order of appearance in the problem statement.

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