Math Question Need Help! Chuck, barry, amos weighed themselves 2 at a time.?

Together , Barry and Chuck weighed 248 kg. Amos and Barry weighed 262 kg amd Amos and Chuck weighed 256 kg. How much does each man weigh?

Plz show how its done.

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  • Anonymous
    1 decade ago
    Favorite Answer

    You have 3 setups so we have 3 equations;

    A + C = 248

    A + B = 262

    B + C = 256

    The first step now is to use whichever one of these equations to wipe out one of the guys in one of the other equations. This will help tell us what the second guy's weight is in that second equation.

    For instance, we can subtract both sides of the first equation from the second:

    A + C = 248

    A - A + B - C = 262 - 248

    That gives us

    B - C = 14,

    and we already have a B & C equation;

    B + C = 256.

    You see how we can add our new equation with that original equation and comnpletely wipe out the C guy, Chuck? Just add the two equations:

    B + B + C - C = 256 + 14

    so, 2B = 270, and B(arry) = 135 kg.

    We now plug that back into one of the other original equations, any of them that has a B:

    We could use A + B = 262, which would give us

    A + 135 = 262 so A = 127, which we would then plug into

    A + C = 248 to find out that C = 121.

    Amos 127

    Barry 135

    Chuck 121

    Or we could have used B + C = 256, which would give us

    135 + C = 256, so C = 121, which we plug into A + C = 248 to give us A + 121 = 248, so A = 127.

    Same answers no matter which way we go, although in some sets of simultaneous equations some ways of doing it are much easier than other ways.

    Your ol' granddad, Curious Cat

  • 1 decade ago

    Amos = A, Barry = B, Chuck = C

    A + B = 262

    A + C = 256

    B + C = 248

    Isolate A, B, or C because one variable is in 2 equations.. I will isolate A:

    A = 256 - C

    Plug A back into the other equation:

    256 - C + B = 262

    B - C = 6

    Isolate B in this equation: B = 6 + C

    Plug this back into the equation where B and C are located.

    6 + C + C = 248

    2C = 242

    C = 121 kg

    Plug this back into B + C =

    B + 121 = 248

    B = 127

    Plug this back into the one with A and B:

    A + 127 = 262

    A = 135

    So: Amos weighs 135 kg, Barry weighs 127 kg, and Chuck ways 121 kg.

  • 1 decade ago

    Amos = a

    Barry = b

    Chuck = c

    b + c = 248; b = 248 - c

    a + b = 262

    a + c = 256; c = 256 - a

    a + (248 - (256 - a)) = 262

    a + 248 - 256 + a = 262

    2a - 8 = 262

    2a = 262 + 8

    a = 270/2

    a = 135

    c = 256 - 135

    c = 121

    b = 248 - 121

    b = 127

    Amos = 135kg

    Barry = 127kg

    Chuck = 121kg

  • Anonymous
    1 decade ago

    Well Barry can be B Chuck can be C and Amos will be A.

    If B+C=248

    A+B=262

    A+C=256

    First I will estimate. Each one should be about 130 pounds. Next:

    B+C=248

    A+B=262

    A+C=256

    121+127

    135+127

    135+121

    124,124

    123,125

    122,126

    121,127

    120,128

    119,129

    118,130

    131,131

    130,132

    129,133

    128,134

    127,135

    126,136

    125,137

    124,138

    128,128

    127,129

    126,130

    125,131

    124,132

    123,133

    122,134

    121,135

    Since this works out.

    121+127

    135+127

    135+121

    B=121

    C=127

    A=135

    So Barry weighs 121 kg

    Chuck weighs 127 kg

    Amos weighs 135 kg

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