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

How do you think we should begin?

Answer 2

well

Answer 3

i honestly have no idea

Answer 4

ok

Answer 5

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

Answer 6

am i using subsitution

Answer 7

ok

Answer 8

how many has brad made?

Answer 9

im guessing 4

Answer 10

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

Answer 11

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

Answer 12

Solve the equation

Answer 13

how is it 8 keys if every hour is 4

Answer 14

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

Answer 15

the answer would be 6

Answer 16

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

Answer 17

okay

Answer 18

i get that

Answer 19

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

Answer 20

okay what does that have to do with the problem

Answer 21

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

Answer 22

so what would be the answer to the problem?

Answer 23

32x6=192

Answer 24

in words please:/

Answer 25

in words please:/

Answer 26

ok ill translate

Answer 27

thank you

Answer 28

its probilly 18 im not 100% sure

Answer 29

lol ill take whatever at this point

Answer 30

lol me to

Answer 31

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.

Answer 32

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

Answer 33

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.