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# Can you help me answers this maths question?

I have attached the photo under the question

### 6 Answers

- AlanLv 74 months agoFavorite Answer
The last problem 31 only

Design- Construction| = 2

|Design - Evaluation| = 11

From now on , I will call the variable by their 1st letter

max value = 20 any section

Design is the highest since it has largest difference

Evaluation is the lowest

D + C + E + R = 48

D -C = 2

D - E = 11

2< D- R < 11

C =D -2

E = D -11

Now , substituting value for C and E into 1st equation gives

D + D -2 + D -11 + R = 48

3D -13 + R = 48

3D +R = 61

Just based on the rules given so far,

you can determine min and max values

D_max = 20

C_max = 18

E_Max = 9

E_min = 0

D_min = 11

C_min =9

3*11 + R =61

R = 61 -3*D

so R<= 17

R_max <= 17 since is not one of the top two

R_max = 61-3*D

But R is a max when D is a minimum

3*D_min = 61 -R_max

3*D_min = 61 -17 = 44

3*D_min = 44

D_min = 44/3 = 14.66666667

But D is a whole number so

D = 15,16,17,18, 19, or 20

so try all 6 values for D from 20 down to 15

so if D = 20

D = 20 , C= 18 , E = 9

R = 61 - 3*20 = 1

Not possible since R > E

D = 19 , C = 17 , E = 8

R = 61 - 3*19 = 4 (still less E, so no

D = 18, C = 16 , E =7

R = 61 -3*18 = 7 (so equals E , so no)

D= 17 , C = 15, E = 6

R = 61 -3*17 = 10 (yes, a possible answer

so the order is correct, the smallest difference is 2,

and largest is 11 )

D> C> R > E (meets that requirement)

D = 16 , C = 14 , E = 5

R = 61- 3*16 = 13 (The order is correct, but the smallest difference is 1 ,

so no

D = 15 , C =13 , E= 4

R = 61 - 3*15 = 16 (no R is bigger than both D and C )

so the correct set of number is :

D = 17, C=15, E = 6 and R = 10

so the answer is A) R = 10

- KrishnamurthyLv 74 months ago
Bruno was awarded 48 marks out of 80 for his coursework project. The maximum mark available for each of the four sections: research, design, construction and evaluation, was 20. The marks for all sections were expressed in whole numbers.

The smallest difference between the marks awarded to any two of Bruno's sections was 2. This was between design and construction, which were his two best sections. The largest difference was 11, between design and evaluation.

How many marks were Bruno's research section awarded?

research (12), design (15), construction (17), and evaluation (4).

Answer choice:

C 12

No, then, the largest difference would be 13 not 11.

17-4 = 13 (not 11 )- Login to reply the answers

- RetiefLv 74 months ago
Sorry, I am not going to copy/paste your blurry sideways image into a graphics program just so I can read your homework for you.

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Probably not from "strs" since I am not sure what that

is