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. Explain to Brad how he can use a system of equations to determine when he will have the same number of key chains as Velma. Use complete sentences.

Answer 1

b=4t
V=3t+6
they have the same amount of key chains when they equal
4t=3t+6
t=6
it would take 6 hours

Answer 2

3x+6=4x

Explanation:

Given :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.

To Find:Explain to Brad how he can use a system of equations to determine when he will have the same number of key chains as Velma.

Solution:

Let x be the hours in which they have same no. of keychains

Since Velma makes 3 key chains in 1 hour

So, she makes key chain in x hours= 3x

She already ha completed 6 keychains

Total keychains she made = 3x+6

Since Brad makes 4 keychains in one hour.

He made keychains in x hours = 4x

Since in x hours they will have the same no. of keychains

⇒3x+6=4x

⇒6=4x-3x

⇒6=x

So, in 6 hours they will have the same number of keychains.

Thus 3x+6=4x is the equation s to determine when he will have the same number of key chains as Velma.