Jackson is on a new exercise regimen. To begin, his trainer does not want him to complete more than a total of 27 lunges and sit-ups. For every lunge that he completes, Jacob burns 30 calories. He burns an additional 20 calories for every sit-up. His goal is to burn at least 620 calories during a workout session. Which is a combination of lunges and sit-ups that Jacob can complete in a session?

7 lunges and 19 sit-ups
11 lunges and 15 sit-ups
10 lunges and 14 sit-ups
12 lunges and 19 sit-ups

Question

Jackson is on a new exercise regimen. To begin, his trainer does not want him to complete more than a total of 27 lunges and sit-ups. For every lunge that he completes, Jacob burns 30 calories. He burns an additional 20 calories for every sit-up. His goal is to burn at least 620 calories during a workout session. Which is a combination of lunges and sit-ups that Jacob can complete in a session?

    7 lunges and 19 sit-ups
    11 lunges and 15 sit-ups
    10 lunges and 14 sit-ups
    12 lunges and 19 sit-ups

anonymous · Answer

Cool thanks, I will try and figure out some if I can with that equation. Thanks.

anonymous · Answer

So just use the process of elimination? I tried doing that but none of my math turned out to be any answer choice given :/

anonymous · Answer

haha

anonymous · Answer

whats so funny dude?

anonymous · Answer

hmm
equations

anonymous · Answer

let me explain

anonymous · Answer

so the answer is b?

anonymous · Answer

Go ahead you can probably help her way more that I can.

anonymous · Answer

let lunges = x and sit ups = y
so his trainer has said not to do total more than 27
so x+y =27
and he should burn atleast 620 calories
so 30 calories for lunges and 20 for situps
so you have 30x+20y =620
solve these 2 equations
you will get answer

anonymous · Answer

got it?

anonymous · Answer

Goodness...I knew how to do that and totally forgot about the other equation :P  Lol I always do stuff the hard way cause i forget the easier way.

anonymous · Answer

i am not so good at substitution but I am leaning towards answer choice b. am i correct?

anonymous · Answer

star hunterrr
what will you do if there are no options given

anonymous · Answer

lol ^

anonymous · Answer

Well I work backwards a lot, so I guess I will fail. I know I need to practice more. but for now, I just wanna get this review done :) and make sure I am ready for my exam tomorrow.

anonymous · Answer

well
you cant solve the equations
then are you?

anonymous · Answer

okay do this
x+y =27
x= 27-y
put value of x in 2nd equation and find y

anonymous · Answer

Well now i am doubting myself. I worked through the steps and 630 is what i got. So. am i right? about the answer being b?

anonymous · Answer

11+25 = 26

anonymous · Answer

not 27

anonymous · Answer

well none of them totals 27 :|

anonymous · Answer

yeah that's where i am getting stuck. I keep plugging in all the answer choices but none of them seem to make sense.

anonymous · Answer

i guess it is right
not more than 27 and atleast 620
so you can go for B

anonymous · Answer

that was my rationale