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.

- anonymous

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- anonymous

How do you think we should begin?

- anonymous

well

- anonymous

i honestly have no idea

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## More answers

- anonymous

ok

- anonymous

So a systems of equations solves for when two things are the same, in this case when the number of bracelets made is equal

- anonymous

am i using subsitution

- anonymous

ok

- anonymous

how many has brad made?

- anonymous

im guessing 4

- anonymous

it says she can make 4 in an hour. so every hour is 8 key chains.

- anonymous

Brad makes 4 per hour, so the number of keychains after x hours is 4x. Velma makes 3 per hour, so her number should be 3x, but she started with 6, so we must add that.. After x hours, she will have made 6 + 3x, while brad will have made 4x
To solve when the number of bracelets will be the same, we will have to find x. The # of bracelets will be equal when both equations equal each other, so when 3x + 6 = 4x

- anonymous

Solve the equation

- anonymous

how is it 8 keys if every hour is 4

- anonymous

what i mean is every hour if you add 4+4 thats 8.

- anonymous

the answer would be 6

- anonymous

what you mean is every i houre she/he makes 4 and if you add 4+4 it =8. and when he makes 8 that is an equivilant of one hour

- anonymous

okay

- anonymous

i get that

- anonymous

ok how bout this. 4x1=4 4x8=32

- anonymous

okay what does that have to do with the problem

- anonymous

it means in one hour he will have 4 in another hour he will have 8

- anonymous

so what would be the answer to the problem?

- anonymous

32x6=192

- anonymous

in words please:/

- anonymous

in words please:/

- anonymous

ok ill translate

- anonymous

thank you

- anonymous

its probilly 18 im not 100% sure

- anonymous

lol ill take whatever at this point

- anonymous

lol me to

- phi

You start by reading
Brad can make 4 key chains in an hour.
and this sentence
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.
"when he will have..." means they want us to find time (in hours)
if we want to find hours, give it a "name" like "x"
x is the number of hours when both people have the same number of chains.

- phi

Now back to
Brad can make 4 key chains in an hour.
if Brad works for 1 hour, how many chains will he make?
if he works for 2 hours?
for 3 hours?
for x hours?
(you get the answer by multiplying rate * time, or in this case 4 * x)
if you let y be the name for "number of chains", you write
y=4x
and that is short for
y (number of chains) is 4 times number of hours worked

- phi

now try to do the same kind of thinking for Velma
Velma can make only 3 key chains in an hour, but she already has 6 completed key chains.

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