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olga2289 [7]
3 years ago
10

I will give brainliest

Mathematics
1 answer:
tatiyna3 years ago
5 0

Answer:

Adam = 60

Brandon  = 66

Chen = 74

Damion = 75

Erica = 75

Step-by-step explanation:

Given

Represent each friend with the first letter of their name

So:

A + B + C =200

B + C + D = 215

C + D +E= 224

A + B + C + D + E = 350

D , E > C

Substitute: A + B + C =200 in A + B + C + D + E = 350

200 + D + E = 350

Collect like terms

D + E = 350-200

D + E = 150

Make D + E the subject in C + D +E= 224

D + E = 224 - C

Substitute D + E = 224 - C in D + E = 150

224 - C = 150

Collect like terms

C = 224 - 150

C = 74

Substitute C = 74 in A + B + C =200 and B + C + D = 215

A + B + 74 = 200

A + B =- 74 + 200

A + B =126

B + 74 + D = 215

B  + D = -74 + 215

B  + D = 141

So, we have:

A + B =126

B  + D = 141

D + E = 150

We have: D , E > C

i.e.

D , E > 74 and D + E = 150

For D , E > 74 and D + E = 150 to be true,

D = E = 75

i.e.

75 + 75 = 150

So, we have:

D = 75

E = 75

B  + D = 141

B + 75 = 141

B  = 141 - 75

B  = 66

A + B =126

A + 66 = 126

A = 126 - 66

A = 60

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