Question

Brad can make 4 key chains in an hour. Velma can make only 3 key chains in an hour, but she already has 6 completed key chains. How can Brad use a system of equations to determine when he will have the same number of key chains as Velma?

Answer 1

Let us assume that the time after which Brad will have the same number of key chains as Velma = x hours
We already know that
Number of key chains Brad can make in an hour = 4
Number of key chains that Velma can make in an hour = 3
So after x hours,
Number of key chains that Brad can make = 4x
Number of key chains that Velma can make = 3x
Number of key chains that Velma already has = 6
Then the equation will be
3x + 6 = 4x
4x - 3x = 6
x = 6
So, from the above deduction, we can conclude that after 6 hours Brad will have the same number of key chains as Velma.