Question

There are 50 workers' hours available for finishing/staining of cabinetry each week. The total number of workers' hours available per week for smoothing/sanding on cabinetry is 80 hours. There are two types of homes being built, Willow Way homes and Colbert Lane homes. Willow Way homes require 2 1/2 hours of finishing/staining and 3 hours of smoothing/sanding. Colbert Lane homes require 1 hour of finishing/staining and 1 1/2 hours of smoothing/sanding. If w represents the number of Willow Way homes and c represents the number of Colbert Lane homes, write the system of inequalities to represent

Answer 1

A. 2.5w + 3c ≤ 50
1w + 1.5c ≤ 80
B. 3w + 1.5c ≤ 50
2.5w + 1c ≤ 80
C. 2.5w + 1c ≤ 50
3w + 1.5c ≤ 80
D. 2.5c + 1w ≤ 50
3c + 1.5w ≤ 80

Answer 2

those are the answers and im so confused every time i read can someone help me please

Answer 3

let's just do the finishing/staining part first. 50 hours available. willow way requires 2.5 hrs of finishing/staining per house, and Colbert requires 1 hour.

if w = # of willow way houses and c = # of colbert lane houses, the time spent in a week working on finishing/staining is
2.5*w + 1*c, right?

Answer 4

ya

Answer 5

for smoothing and sanding, willow way takes 3 hours and colbert lane takes 1.5 hours (per house), and there are a total of 80 hours available.

hours a week spend smoothing and sanding is
3*w + 1.5*c
right?

Answer 6

yup

Answer 7

so, we need a set of inequalities that says the first expression (for finishing/staining) uses no more than 50 hours, and the second expression uses no more than 80 hours.

Answer 8

ok

Answer 9

which answer choice is that?

Answer 10

c

Answer 11

is that correct or no

Answer 12

looks like it.

Answer 13

thank you and a medal for you my friend

Answer 14

wasn't really that hard when we worked through it, was it?

Answer 15

trick is just to keep your eyes from glazing over as you read the answer choices :-)

Answer 16

no it was just confusing i kept reading it over and over again and it just would not process through my mind lol

Answer 17

we actually knew the answer after the first thing we did, if we'd stopped to consider the answer choices at that point. but I prefer to be able to find the answer entirely by myself. real life often isn't multiple choice :-)

Answer 18

ya really the only reason i have multiple choice is cause im in homeschooling and these were practice questions and i got so confused and stuck