Question 1062809
homework = 100
test grades of 99, 100, 97


homework average counts 15%
each test counts 20%
final counts 25%


.15 * 100 = 15
.20 * 99 = 19.8
.20 * 100 = 20
.20 * 97 = 19.4
.25 * x = .25 *x


15 + 19.8 + 20 + 19.4 + .25 * x >= 90


combine like terms to get 74.2 + .25 * x >= 90


subtract 74.2 from both sides of the equation to get .25 * x >= 90 - 74.2


simplify to get .25 * x >= 15.8


divide both sides of this equation by .25 to get x >= 63.2


he needs to get greater than or equal to 63.2 on the final to get a final average greater than or equal to 90.