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About Sherman D.
Expertise
I can answer questions dealing in mathematics of all kinds except for Physics and Calculus, but i can answer questions in Pre-Calculus and Chemistry. I can also answer questions in Recipes of all kinds. I can find games cheats/walkthroughs, but i can`t find a specific game online or offline. I can also do history and recipes for alcoholic beverages.

Experience
Mathematics, Recipes, History, and Games.

Education/Credentials
High School graduated. I graduated with honors, and i was in Beta Club for a year and a half.

Awards and Honors
Principle's list and A and B honor roll in high school only.

 
   

You are here:  Experts > Science > Mathematics > Advanced Math > equation

Advanced Math - equation


Expert: Sherman D. - 7/3/2009

Question
1)A student responded to all the 22 questions on a test and received a score of 63.5.If the scores were derived by adding 3.5 points for each correct answer and deducting 1 point for each incorrect answer, how many questions did the student answer incorrectly?

2)Erica has $460 in 5-and 10-dollar bills only.If she has fewer 10-than 5-dollar bills, what is the least possible number of 5-dollar bills she could have?  

Answer
x + y = 22
3.5x - y = 63.5

-y = -3.5x + 63.5
y = 3.5x - 63.5

x + 3.5x - 63.5 = 22
4.5x = 85.5
x = 19

The student answered 3 incorrectly

-----------------------------------------------

2.)
5x + 10y = 460
y < x

x + 2y = 92
x = -2y + 92

to make this work you can just use trial and error until y is less than x.

92,0
90,1
88,2
86,3
84,4
82,5
...
42,25
40,26
...
36,28
...
32,30

assuming she has a $10 bill, then your answer is 29 possible answers.

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