Question

the occupations of biomedical engineers, skin care specialists, and physician assistants are among the 15 with the largest growth from 2008 to 2018. the number of physician assistant jobs will grow 7 thousand less than 3 times the number of biomedical engineer jobs. the number of skin care specialist jobs will grow 12 thousand more than half the number of biomedical engineer jobs. If the total growth of these three jobs is predicted to be 59 thousand, find the predicted growth of each job.

The predicted growth of biomedical engineers is ___ thousands
The predicted growth of skin care specialists is ____ thousands
The predicted growth of physician assistants is ____ thousands

Answer 1

can anyone help? I've been working on this forever now...

Answer 2

is there anyone out there?

Answer 3

I need help anyone...

Answer 4

Let

B = The predicted growth of biomedical engineers
S = The predicted growth of skin care specialists
P = The predicted growth of physician assistants

all of these values will be in thousands (ex: saying B = 2 means the number of biomed engineers grew by 2 thousand)

Answer 5

"the number of physician assistant jobs will grow 7 thousand less than 3 times the number of biomedical engineer jobs"

which means

P = 3B - 7

Answer 6

"the number of skin care specialist jobs will grow 12 thousand more than half the number of biomedical engineer jobs"

telling us that

S = (1/2)B + 12

Answer 7

" the total growth of these three jobs is predicted to be 59 thousand"

so

B+S+P = 59

Answer 8

making sense so far?

Answer 9

yes

Answer 10

we can replace all of S with (1/2)B + 12

we can replace all of P with 3B - 7

Answer 11

doing those two things makes us go from

B+S+P = 59

to

B+(1/2)B + 12 + 3B - 7 = 59

Answer 12

do you see how to solve for B?

Answer 13

uh im little lost

Answer 14

where at?

Answer 15

sorry i was working it out on paper lol, so B=12

Answer 16

B=12?

Answer 17

are you still there?

Answer 18

let me check

Answer 19

yes I'm getting B = 12 as well

Answer 20

using B = 12, you can figure out the values of S and P using


P = 3B - 7

S = (1/2)B + 12

Answer 21

so replace all "B' with 12

Answer 22

P=29 and S=18 is that right?

Answer 23

yes and then evaluate

Answer 24

correct, I'm getting the same for P and S

Answer 25

so the biomedical engineer is 12 thousand
the skin care specialists is 18 thousand
the physician assistants is 29 thousand

Answer 26

correct

Answer 27

YAHOO!!!! Thank you so much I have been stuck on this for like 30 minutes now, again thank you :), you have a new fan

Answer 28

you're welcome