Show all steps and provide answer for: A student scores a total of 248 points on three tests. Thetotal of the first two scores is 66 more than the score on thethird test. The score on the third test is 6 more than that of thesecond test. Find the three test scores. Show all steps and provide answer for: A student scores a total of 248 points on three tests. Thetotal of the first two scores is 66 more than the score on thethird test. The score on the third test is 6 more than that of thesecond test. Find the three test scores.
Explanation / Answer
T is test score. T1+T2+T3=248....................................(1) T1+T2=T3+66 .....................................(2) T3=6+T2...............................................(3) Rewriting the system of 3 equations in 3 unknowns wehave T1+T2+T3=248.......................................(5) T1+T2-T3=66..........................................(6) -T2+T3=6............................................(7) Adding (6) and (7) we have T1=72 Substituting into (5) and (6) we obtain T2+T3=176...............(8) T2-T3=-6...................(9) Adding the equations 2T2=170 T2=85 Substituting into (9) yields T3=91