Question
5e+15p</=60
How many combinations of excersises (e) and problems (p)can you do in exactly one hour(60 minutes)?
I've found 5 combinations:
9e,1p
3e,3p
6e,2p
0e,4p,
12e,0p
Are there anymore? What method would you use to solve this type of problem? Thanks for the help!
How many combinations of excersises (e) and problems (p)can you do in exactly one hour(60 minutes)?
I've found 5 combinations:
9e,1p
3e,3p
6e,2p
0e,4p,
12e,0p
Are there anymore? What method would you use to solve this type of problem? Thanks for the help!
Answers
Damon
graph it
e on x axis
p on y axis
e from 0 to 60/5 = 12
p from 0 to 60/15 = 4
draw line from (0,4) down to (12,0)
everything between the origin and the line in the first quadrant will do, including on the line. Just fill in the grid there.
e on x axis
p on y axis
e from 0 to 60/5 = 12
p from 0 to 60/15 = 4
draw line from (0,4) down to (12,0)
everything between the origin and the line in the first quadrant will do, including on the line. Just fill in the grid there.
bobpursley
you have them, e,p are integer solutions
Damon
when p = 0, 13 points (0,0)to (12,0)
when p = 1, 10 points (0,1) to (9,1)
when p = 3, 4 points (0,2) to (3,3)
when p = 4, 1 point (0,4)
13 + 10 + 4 + 1 = 28
when p = 1, 10 points (0,1) to (9,1)
when p = 3, 4 points (0,2) to (3,3)
when p = 4, 1 point (0,4)
13 + 10 + 4 + 1 = 28
Damon
Oh, sorry, I thought you wanted all integer solutions that satisfied the inequality. The ones you listed are exactly on the line.
I left out p = 2 line
(0, 2) to (6,2), seven more
28 + 7 = 35 total solutions for less than an hour if all are integer.
I left out p = 2 line
(0, 2) to (6,2), seven more
28 + 7 = 35 total solutions for less than an hour if all are integer.