Math

Ty received test grades of 73%,82%,73%,77%, and 77%.
a) what grade would he need to make on the sixth test to get a "C" if a "C" is at least 75% but less than 80%?
b) Is it possible for Ty to get a B or better for his test average (at least 80%)?
ANSWERS:
To earn a C in the course, Ty must score at least a ( ??? )%
but less than (??? )% on the sixth test.

Please I need to fill the ???? in the parenthesis and solve letter "b"

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  1. 75 ≤ (73+82+73+77+77+b)/6 < 80

    carry on

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  2. I don't understand.Please

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  3. let T equal the test grade

    find the sum of 1st five tests ... call it S

    6 * 75% = 450% ... 6 * 80% = 480%

    a) 450% ≤ S + T < 480%

    b) 480% ≤ S + T

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  4. 75 ≤ (73+82+73+77+77+b)/6 < 80
    75 ≤ (382+b)/6 < 80 , should be obvious what I did
    450 ≤ 382+b < 480 , I multiplied everybody by 6, in the middle that canceled the 6 at the bottom
    68 ≤ b ≤ 98, I subtracted 382 from everybody and I am done!

    What does my last inequation tell you ?

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  5. a. 75 = (73+82+73+77+77+G)/6 < 80.
    75 = (382 + G)/6 < 80,
    Multiply by 6:
    450 = (382+G) <480,
    450-382 = G < 480 - 382,
    68 = G < 98,
    So he will need a grade(G) of at least 68 but less than 98.

    b. (73+82+73+77+77+G)/6 = 80.
    (382+G)/6 = 80.
    G = ?

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