Question

MEDALS!!!!
Jacob spends 60 minutes in the gym every day doing freehand exercises and running on the treadmill. He spends 30 minutes more running on the treadmill than doing freehand exercises.

Part A: Write a pair of linear equations to show the relationship between the number of minutes Jacob does freehand exercises (y) and the number of minutes he runs on the treadmill(x).

Part B: How much time does Jacob spend on doing freehand exercises?

Part C: Is it possible for Jacob to have spent 40 minutes running on the treadmill? Explain your reasoning.

Answer 1

I hate systems of equations, it's so annoying and I just need help working out these problems

Answer 2

@Luigi0210

Answer 3

here ill explain it

Answer 4

Would it be…
x = y + 30?

Answer 5

what is your x and y?

Answer 6

It says y is freehand exercises and x is running

Answer 7

x being free hand and y being treadmill your system would be

x+y=60 (because you spend 60 minutes doing both activities)
y=x+30

Answer 8

sorry according to your problem it would be

x+y=60
x=y+30

this is part a

Answer 9

Oh ok, that makes sense, I knew the second one just needed another one to make it systems of equations

Answer 10

Part B:
Plug in your value for x
remember: x=y+30
so
(y+30)+y=60
y+30+y=60
2y+30=60
2y=30
y=15

so 15 minutes doing freehand exercises

Answer 11

Well then how would he fill the remaining 15 minutes?? Because if you plug that in then you only get 45

Answer 12

I feel like that is wrong because 30 and 15 does not equal 60. let me check my math

Answer 13

Yes I just saw that. Hang on

Answer 14

Ok

Answer 15

wait, no that is correct. Let me explain

Answer 16

Jacob does not spend 30 minutes on the treadmill, he spends 30 minutes MORE than 15, which is 45.
15+45=60
y+x=60

Answer 17

Oh ok that makes sense now

Answer 18

Thanks!!!

Answer 19

Do you need help with part c?
You;re welcome

Answer 20

I already have part C thank you