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i got this math problem?
i got a test and i cant solve this to be prepared can you solve it 1 by 1..like
1x+5x=21 ....
6x=21 ...
heres it is
part A of an exam there are more 4 questions that part B
every questions on part A you get 7 points
every Question or par B you get 11 points
how many are there in each part if you can get 100 points?
David thanks for your effort but it didn't say that a = b+4 it just said that b got more 4 questions than A so you cant assume that their both =
1 Answer
- ?Lv 67 years agoFavourite answer
A = B + 4, where A is the number of quesitons in part A, and B represents number of questions in B.
Now the points available from part a are A*7, and the points from part B are B*11.
Add these and set to 100: A*7 + B*11 = 100, but remember that A = B + 4, so now we have:
(B + 4)*7 + B*11 = 100. Multiply 7 times each term in parenthesis: B*7 + 4*7 + B*11 = 100.
combine the two B terms and multiply the 4*7: B*18 + 28 = 100
Subtract 28 from both sides: B*18 = 72.
Divide by 18: B = 4. And then A = B + 4 = 8.
so we have section A is 8 questions, 7 points ea: 8*7 = 56.
Section B is 4 questions, 11 pts each: 4*11 = 44. Add them together and you get 100 points.
