Algebra People...
This is really frustrating for me because I understood accelerated geometry very well last year and now I'm confused in accelerated algebra 2 =[. I understand the basics of systems, but I need some help on some story problems. Once I have the systems, I can solve them. Here is what I need help on:
1) Beth has saved $4,500. She would like to earn $250 per year by investing her money. She received advice about two different investments: a low-risk investment that pays a 5% annual interest and a high-risk investment that pays 9% annual interest. How much should Beth invest in each type of investment to earn her annual goal? How much should Beth invest in each type of investment if she wishes to earn $325 per year?
2) One unit of whole-wheat flour has 13.6 grams of protein and 2.5 grams of fat. One unit of whole milk has 3.4 grams of protein and 3.7 grams of fat. Write a system of equations that can be used to find the number of units of whole-wheat flour and the number of units of whole milk that must be mixed to make a dough that has 75 grams of protein and 15 grams of fat. Solve the system and give the number of units, to the nearest tenth, of flour and of milk in the dough.
3) When Dale baby-sat for 8 hours and worked at a restaurant for 3 hours, he made a total of $58. When he baby-sat for 2 hours and worked at a restaurant for 5 hours, he made a total of $40. How much does Dale get paid for each type of work?
Thank you so, so much in advance =]
3) $5 an hour for babysitting; $6 an hour for restaurant
I love math but it's been a long time, so I can only do the easy one :)
1) A(t) = P(1+r)^t
a) 4750 = 1.09x + 1.05y
and then a miracle occurred (sorry, I can't figure out the other equation, it's been a while since I have done anything that wasn't compounding).
x = 625, y = 3875
b) x = 2500 y = 2000
2) Let f = units of flour
Let m = units of milk
Protein: 13.6f + 3.4m = 75
fat: 2.5f + 3.7m = 15
m = (15 - 2.5f)/3.7
You should be able to solve from there.
3) 8x +3y = 58
2x + 5y = 40
x = 20 - 5/2y
You should be able to solve from there.
Here are the systems of equations:
1) .05x + .09y = 250, x + y = 4500
2) 13.6f + 3.4m = 75, 2.5f +3.7m = 15
3) 8b +3r = 58, 2b +5r = 40
Thanks guys =] I can always count on finding some math buffs around this place.

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