Question

Hii! I'm kind of stuck on these, they may be simple I have a lot going on because tomorrow is my last day of school, and I need to turn this in tomorrow;;; Can someone help? Please? :,)
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?

5. 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?

6. 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

7. 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.

Answer 1

I'll get you started. If this doesn't help, you are in big trouble.

#1. 40+6x = 24+10x

#2. 2e+t = 6.00
e+t = 3.60

#3. .30x + .10(4-x) = .15(4)
#4. Just like #3

#5. k+c = 5.75
k-c = 3.25

#6. 12b + 24g >= 420

#7. L >= 40
2(L+W) <= 150

Answer 2

I'll help you w/ 5; use above as ref to learn

5.
y = still water
x = current speed

+ for with the water
- for going against the water

elimination
y+x=5.75. (x+ and x- cancel out)
y-x=3.25
--------------
2y=9
/2 /2

y=4.5 (still water)

y+x=5.75
4.5 +x = 5.75
-4.5 -4.5
-----------------
x = 1.25

The current speed is 1.25