David scored x marks for his mathematics test, Edwin scored 4/5 of what David scored. Frank scored 38 marks more than Edwin and Gabriel scored 5 fewer marks than Frank.

(a) Express Gabriel's marks in terms of x.

(b) if the average mark of the four boys is 64.5, find Gabriel's marks for the Mathematics test.

Question

Mathematics

Caiden

11 January, 22:01

David scored x marks for his mathematics test, Edwin scored 4/5 of what David scored. Frank scored 38 marks more than Edwin and Gabriel scored 5 fewer marks than Frank.

(a) Express Gabriel's marks in terms of x.

(b) if the average mark of the four boys is 64.5, find Gabriel's marks for the Mathematics test.

+5

Answers (1)

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Davian Barron · Answer 1

D=x

E = (4/5) •x

F=E+38

F = (4/5) •x+38

G=F-5

G = (4/5) x+38-5

G = (4/5) x+33. ⟨--answer for A

64.5=[d+e+f+g]/4

64.5=[5x/5+4x/5+4x/5+38+4x/5+33]/4

4•64.5=9x/5+8x/5+71

258=17x/5+71

258-17=17x/5

241=17x/5

5•241=17x

1205/17=x

70.88=x

G = (4/5) x+33

G = (4/5) (70.88) + 33

G=89.7 ⟨--answer to part B