Hi! 15+ points for this! :D 1.Alex has $40, and Ellen has $24. Alex is saving $6 per day, and Ellen is saving $10 day. After how many days will Alex and Ellen have the same amount of money?

2.Kendra owns a restaurant. She charges $6.00 for two eggs and one piece of toast and $3.60 for one egg and one piece of toast. How much does Kendra charge per egg? How much per piece of toast?

3.A restaurant has one type of lemonade that is 30% sugar and another that is 10% sugar. How many gallons of each type does the restraint need to make 4 gallons of a lemonade mixture that is 15% sugar?

4.A scientist has a container of 2% acid solution and a container of 5% acid solution. How many fluid ounces of each concentration should be combined to make 25 fl oz of 3.2% acid solution?

16.The speed of a kayaker is 5.75 mi/h paddling with the river current and 3.25 mi/h paddling against it. What is the speed of the river current?

Susan make $12 per hour babysitting and $24 per hour as a lifeguard. Her goal is to make at least $420. Write an inequality, graph the solution, and list three possible solutions

25.Joe wants to fence a rectangular pen for his goats. The length of the pen should be at least 40 ft, and the distance around should be no more than 150 ft. Write a systems of inequalities and graph to represent the possible dimensions of the pen.

1. 4 days

2. $1.2

3. 1 and 3 gallons

4. 15 and 10

16. 1.2 mi/h

-- Please refer to graph

-- Please refer to graph

Step-by-step explanation:

Solution 1.

Alex has $40, and Ellen has $24. Alex is saving $6 per day, and Ellen is saving $10 day.

Let x be the number of days in which they both have same money:

As per given statement:

In 4 days, they will have same money.

Solution 2:

Kendra owns a restaurant. She charges $6.00 for two eggs and one piece of toast and $3.60 for one egg and one piece of toast.

Let x be the price of one egg.

Let y be the price of one toast.

As per given statement:

Subtracting (2) from (1):

Price of toast = 3.6 - 2.4 = $1.2

Solution 3:

A restaurant has one type of lemonade that is 30% sugar and another that is 10% sugar. Resultant mixture 4 gallons of 15% sugar.

Let x be the amount of lemonade with 30% sugar.

Amount of another lemonade with 10% sugar = (4-x)

As per question statement:

Lemonade with 30% sugar required is 1 gallon.

Lemonade with 10% sugar required is 3 gallons.

Solution 4:

A scientist has a container of 2% acid solution and a container of 5% acid solution. Resultant mixture is 25 fl oz of 3.2%.

Let x be the amount of 2% acid solution.

Amount of another lemonade with 5% acid solution = (25-x)

As per given question statement:

2% acid solution required is 15 fl oz.

5% acid solution required is 10 fl oz.

Solution 16:

Let v be the speed of river current.

Let u be the speed of kayaker.

As per question:

The speed of a kayaker is 5.75 mi/h paddling with the river current and 3.25 mi/h paddling against it.

Equation (1) - (2):

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Susan make $12 per hour babysitting and $24 per hour as a lifeguard. Her goal is to make at least $420.

Let x be the number of hours for babysitting.

Let y be the number of hours as lifeguard.

As per given statement:

Please refer to graph attached with file name: Inequality

Three possible solutions:  (20,20), (21,21) and (22,22)

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25. Joe wants to fence a rectangular pen for his goats. The length of the pen should be at least 40 ft, and the distance around should be no more than 150 ft

Let x be length

and y be width.

As per statement:

x > 40

And perimeter should be less than equal to 240.

2(x+y) 240

Please refer to attached graph with name: "2EquationInq"

Possible dimensions of pen can be (50,20).