Question

Please help I am very confused!

Answer 1

Part 1: Solve one of the word problems below. Show all of your work. (5 points)
There are three types of word problems below: a rate problem, an interest problem, and a mixture problem. Choose one of the word problems and complete parts a – e.
Rate Problem: Jeff and Lucy have been asked to wash their mom’s minivan. It takes Jeff 2 hours to wash the van by himself, and it takes Lucy 1.5 hours to wash the van by herself. How long will it take Jeff and Lucy to wash the van if they work together?
a. What equation is used to solve this problem? What does each variable represent?
b. Identify the given information.
c. Enter the given information into the equation.
d. Solve the equation.
e. State the solution.
Interest Problem: Julian deposits money into two different savings accounts. He deposits $600 more into Account B than Account A. After a certain amount of time, Account A has earned $180 at a rate of 4%, and Account B has earned $375 at a rate of 5%. How much did Julian initially deposit into each account?
a. What equation is used to solve this problem? What does each variable represent?
b. Identify the given information. What do you know about P?
c. Enter the given information into the equation.
d. Solve the equation.
e. State the solution.
Mixture Problem: Addison is mixing hummingbird food to fill her feeders. Ideally, the hummingbird food should contain 25% sugar. Addison remembers that she has 8 ounces of leftover hummingbird food that contains 35% sugar. She decides to mix some diluted food to add to the leftover food. If the diluted food contains 10% sugar, how much should she add to the food with 35% sugar to get the ideal hummingbird food with 25% sugar?
a. What equation is used to solve this problem?
b. Identify the given information. How can you represent each food mixture with an expression? What amount will you represent with a variable?
c. Enter the given information into the equation.
d. Solve the equation.
e. State the solution.
Part 2: Write and solve your own word problem. (5 points)
Now it’s your turn! Create one word problem of your own: rate problem, an interest problem, or a mixture problem. The type of problem you choose must be different from the type you chose to solve in part 1. For example, if you solved the interest problem in part 1 you must create either a rate or mixture problem for part 2. Your word problem must include the following:
• word problem (2 pts)
• work to solve the word problem (2 pts)
• solution (1 pt)

Answer 2

How bout I help with all of them? The first one is a work problem, and the general set-up for this is 1/the work done by one person + 1/the work done by another person = 1/t, which is the amount they can do combining their efforts. Look at it like this, if I can do a job in 4 hours, in 1 hour I would get 1/4 of the job done. If you could do the same job in 3 hours, you could get 1/3 of it done. If we combine our efforts, 1/4 + 1/3 = 1/t. Find the LCM of the 3 denominators, eliminate them and solve for t. So here goes for the first one.\[\frac{ 1 }{ 2 }+\frac{ 1 }{ 1.5 }=\frac{ 1 }{ t }\]The LCM of this equation is 6t (all of the denominators go evenly into 6t). 6t/2 = 3t; 6t/1.5 = 4t; 6t/t = 6. So now our equation is 3t + 4t = 6. Add the 3t and the 4t and get 7t; divide both sides by 7 and you get t (the total time they will take to wash the van together) = 6/7 (that's six-sevenths of an hour). Get that one? So for a. your equation is above; b. the given info is that Jeff can wash the van alone in 2 hours, and the Lucy can wash the van alone in 1.5 hours. I think that one's pretty much done. Now on to the next one, which I am going to skip the interest one for now (that's a lot of work, I will have to come back to it) and go to the last one. This one requires a table:
We need to fill in this table according to what is given to you. The first column is for the amount of the birdfood for the leftover, the diluted, and the final mixture. The middle column is for the % sugar in each one of these foods, and the third column is what I call the answers column, because it is the info in this column that will help you solve your problem. Using what we are given in the problem, we know that Addison wants a final product that is 25% sugar. So that will go into the % sugar column in the "final" row as a decimal (.25). Next we are told that she has 8 ounces of leftover food with 35% sugar. That 8 ounces goes into the amount food column in the "leftover" row (8), and the 35% sugar goes into the % sugar column in the "leftover" row as a decimal (.35). Next we are told that the diluted food contains 10% sugar, so that .10 goes into the % sugar column in the "diluted" row. Now comes the question, but with a bit more info for our table. It is asking you,"How much of the diluted food should she add to the leftover food to get a final food that is 25% sugar?" We have here that the final needs to be 25% so the .25 goes into the % sugar column in the "final" row. It is asking you how much of the diluted and how much of the leftover do you need to mix together, so you are adding those to = the final. Howeveer, you do not know how much of the diluted you have, you only know that you have 8 ounces of the leftover food. So the leftover food of 8 ounces has to be added to an unknown quantity, x, to get the final of 8 + x, which is the total of both food mixed together. So here is what we have in our table now:
Can you solve for x from there and answer the questions about the problem now?

Answer 3

Yes! Thank You sooo much!!! I was sooo confused!

Answer 4

But i am still a bit confused on part 2. @IMStuck