SHOPPING 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.

She can order a maximum of ______________ washcloths or _______________ bath towels.

b. Solve for b.

b =T-______/______

c. She needs to order at least 20 washcloths. How many bath towels can she order and stay under budget?

_________________bath towels

pls help I know its long but I really need help, the ________ are where the answers go.

I got it wrong be cause no one would help me :( so here are the answers Blank 1: 42

Blank 2: 14
Blank 3: 2w
Blank 4: 6
Blank 5: 7

a. Her budget is $85. Describe the constraints.

She can order a maximum of 42 washcloths or 28 bath towels.

b. Solve for b.

b = T - (2w) / 6

c. She needs to order at least 20 washcloths. How many bath towels can she order and stay under budget?

She can order 8 bath towels and stay under budget.

a. Her budget is $85. Describe the constraints.

She can order a maximum of ____ washcloths or ____ bath towels.

The total cost of the order is T = 6b + 2w. Given the budget of $85, we can set up the following inequality:

6b + 2w ≤ 85

To determine the constraints, we need to find the maximum number of washcloths or bath towels she can order while staying within the budget.

b. Solve for b.

b = (T - 2w) / 6

Substituting the given total cost equation T = 6b + 2w, we can solve for b:

b = (6b + 2w - 2w) / 6
b = (6b) / 6
b = ____/______

c. She needs to order at least 20 washcloths. How many bath towels can she order and stay under budget?

To find the maximum number of bath towels she can order while staying under budget, we can substitute the constraint of at least 20 washcloths:

2w ≥ 20
w ≥ 10

Substituting this constraint into the total cost equation:

6b + 2w ≤ 85

6b + 2(10) ≤ 85
6b + 20 ≤ 85
6b ≤ 65
b ≤ 65/6
b ≤ _______________ bath towels

Remember to fill in the blanks with the calculated values to get the final answer.

a. Constraints:

- The budget is $85.
- The maximum number of washcloths is unknown.
- The maximum number of bath towels is unknown.

To determine the maximum number of washcloths and bath towels, we need to use the given budget and the equation T = 6b + 2w.

b. Solve for b:
Using the given budget of $85, we can substitute T = 85 into the equation T = 6b + 2w:

85 = 6b + 2w

To solve for b, we need to isolate it on one side of the equation. We can do this by rearranging the equation as follows:

6b = 85 - 2w
b = (85 - 2w) / 6

So, the equation for b is b = (85 - 2w) / 6.

c. Determine the maximum number of bath towels:
To find the maximum number of bath towels that can be ordered while staying under budget, we need to consider the fact that she needs to order at least 20 washcloths. This means w ≥ 20.

Using the equation T = 6b + 2w, with a budget of $85, we can substitute the value of w:

85 = 6b + 2(20)
85 = 6b + 40
6b = 85 - 40
6b = 45

Now, we can solve for b by dividing both sides of the equation by 6:

b = 45 / 6
b = 7.5

Since the number of bath towels cannot be a decimal, she can order a maximum of 7 bath towels.

Therefore, the answers are:
a. She can order a maximum of ______ washcloths or ______ bath towels (unknown without additional information).
b. b = (85 - 2w) / 6
c. She can order a maximum of 7 bath towels.