anyone help??

ive friends take a maths test
Adam, Brandon, Chen together scored 200 marks
Brandon, Chen and Damion together scored 215
Chen, Damion, Erica together scored 224
Damion and Erica scored more than Chen
The five of them together scored 350 marks

What are their individual scores

Answers

Answer 1

Answer:

[tex]Adam = 60[/tex]

[tex]Brandon = 66[/tex]

[tex]Chen = 74[/tex]

[tex]Damion = 75[/tex]

[tex]Erica = 75[/tex]

Step-by-step explanation:

Given

Represent each friend with the first letter of their name

So:

[tex]A + B + C =200[/tex]

[tex]B + C + D = 215[/tex]

[tex]C + D +E= 224[/tex]

[tex]A + B + C + D + E = 350[/tex]

[tex]D , E > C[/tex]

Substitute: [tex]A + B + C =200[/tex] in [tex]A + B + C + D + E = 350[/tex]

[tex]200 + D + E = 350[/tex]

Collect like terms

[tex]D + E = 350-200[/tex]

[tex]D + E = 150[/tex]

Make D + E the subject in [tex]C + D +E= 224[/tex]

[tex]D + E = 224 - C[/tex]

Substitute [tex]D + E = 224 - C[/tex] in [tex]D + E = 150[/tex]

[tex]224 - C = 150[/tex]

Collect like terms

[tex]C = 224 - 150[/tex]

[tex]C = 74[/tex]

Substitute [tex]C = 74[/tex] in [tex]A + B + C =200[/tex] and [tex]B + C + D = 215[/tex]

[tex]A + B + 74 = 200[/tex]

[tex]A + B =- 74 + 200[/tex]

[tex]A + B =126[/tex]

[tex]B + 74 + D = 215[/tex]

[tex]B + D = -74 + 215[/tex]

[tex]B + D = 141[/tex]

So, we have:

[tex]A + B =126[/tex]

[tex]B + D = 141[/tex]

[tex]D + E = 150[/tex]

We have: [tex]D , E > C[/tex]

i.e.

[tex]D , E > 74[/tex] and [tex]D + E = 150[/tex]

For [tex]D , E > 74[/tex] and [tex]D + E = 150[/tex] to be true,

[tex]D = E = 75[/tex]

i.e.

[tex]75 + 75 = 150[/tex]

So, we have:

[tex]D = 75[/tex]

[tex]E = 75[/tex]

Solve for B

[tex]B + D = 141[/tex]

[tex]B + 75 = 141[/tex]

[tex]B = 141 - 75[/tex]

[tex]B = 66[/tex]

Solve for A

[tex]A + B =126[/tex]

[tex]A + 66 = 126[/tex]

[tex]A = 126 - 66[/tex]

[tex]A = 60[/tex]


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Answer:

area = 186.984

Step-by-step explanation:

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Answer:

SA;

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Step-by-step explanation:

✔️The four walls of Frank's room is to be covered with blue paint, therefore, it is a Surface area (SA) problem.

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Answers

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Step-by-step explanation:

There is only 1 six of diamonds in a standard deck of cards. There are 52 cards in a deck, thus the probability of pulling a six of diamonds is 1 in 52.

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Answers

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Answer:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Answers

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Step-by-step explanation:

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Answers

9514 1404 393

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Step-by-step explanation:

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Answers

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