# 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

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.

• 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.

• 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

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