Barry's mountain bike weighs 6 pounds more than Andy's. If their bikes weigh 42 pounds altogether, how much does Barry's bike weigh?
Andy's bike weighs 18 pounds and Barry's bike weighs 24 pounds because 42 divided by 2 equals 21 then you subtract 3 from Andy and add 3 to Barry's bike and it will equal 24
Answer:
Step-by-step explanation:
Barry's bike: \(B\)
Andy's bike: \(A\)
According to the problem:
\(B=6+A\); because Barry's weighs 6 pounds more.
And:
\(B+A=42\); because together they weigh 42 pounds.
So, replacing the first equation into the second expression, we have:
\((6+A)+A=42\\6+2A=42\\2A=42-6\\A=\frac{36}{2}=18\)
Andy's bike weighs 18 pounds.
Therefore, Barry's bike would weigh:
\(B=6+18=24 \ pounds\)