Question

I will give brainliest

Answer 1

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:

$D = 75$

$E = 75$

$B + D = 141$

$B + 75 = 141$

$B = 141 - 75$

$B = 66$

$A + B =126$

$A + 66 = 126$

$A = 126 - 66$

$A = 60$