Kimberly is ordering bath towels and washcloths for the inn where she works. The total cost of the order is T=6b+2w, where T is the total cost, b is the number of bath towels, and w is the number of washcloths. a. Her budget is $85. Describe the constraints. b. Solve for b. Show all work and check your answer. C. She needs to order at least 20 washcloths. How many bath towels can she order and stay under budget? Show all work and check your answer

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ibiscollingwood ibiscollingwood · Answer 1 · 2020-11-04T07:14:00+01:00

Answer:

Step-by-step explanation:

We are given the equation

a) T=6b+2w

T is the total cost

b is the no of bath towels

w is the no of washcloths

so the final equation becomes when T=85

6b+2w=85

b) given budget is $85

6b+2w [tex]\leq[/tex] 85

the maximum no of bath towels will be when wash clothes will be zero

6b + 2(0) [tex]\leq[/tex]85

6b [tex]\leq[/tex] 85

b [tex]\leq[/tex] 85/6

b [tex]\leq[/tex] 14.16

that means the maximum no of baths towels we can buy is 14

similarly for the maximum no of wash clothes it will be when bath towels will be zero

6(0) + 2w [tex]\leq[/tex] 85

upon solving we get

w [tex]\leq[/tex] 42.5

That means we can buy at most 42 wash clothes.

c) when w = 20

6b + 2(20) [tex]\leq[/tex] 85

6b [tex]\leq[/tex] 45

b [tex]\leq[/tex] 7.5

That means we can buy 7 bath towels when 20 wash clothes are bought to stay in the budget.

Note: omitting the decimal values because a particular objects can't be bought in decimals.