Question

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?

Answer 1

24 pounds.

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=(36)/(2)=18`

Andy's bike weighs 18 pounds.

Therefore, Barry's bike would weigh:

`B=6+18=24 \ pounds`

Answer 2

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