posted by T-perry on .
A college student decides that school work limits him to a total of no more than 36
hours per week at his two parttime jobs. He earns $6 per hour hanging wall paper and
he has a sales job that pays $8 per hour. He needs to earn at least $245 per week to
cover his expenses. Write a system of inequalities that shows the various numbers of
hours he can work at each job. Let h represent the number of hours spent hanging wall
paper and let s represent the number of hours spent working at the sales job.
hours: h + s < or equal to 36
6h + 8s > or equal to 245
You can solve these just like you would equations.
How would you solve h + s = 36
6h + 8s = 245
Multiply the first equation by -6 and then combine the equations to eliminate the x and solve for y. Substitute back in to solve for x.
then go back to the original inequalities to find the various numbers houwer worked
well you would isolate y and i got s< or equal to -h+36
I meant to say s and h.
You could do that which issubstitution or you could use the addition/elimination method
-6h -6s <= 216
6h +8s >= 245