SOLUTION: Could someone help me with this word problem please ? Solve by any method and show equations and major steps. A student has a total of 225 points on three tests. The sum of the sc

Question 33716: Could someone help me with this word problem please ?
Solve by any method and show equations and major steps. A student has a total of 225 points on three tests. The sum of the scores on the first and second tests exceeds the score on the third test by 61. The first score exceeds the second by 6. Find the three scores
Found 2 solutions by mukhopadhyay, Paul:
Answer by mukhopadhyay(490) (Show Source): You can put this solution on YOUR website!
Let x be the first score.
The score on the second test is (x-6)
The score on the third test = x+(x-6)-61
Total score = 225
x+(x-6)+[x+(x-6)-61] = 225
=> 2x+2x-12-61 = 225
=> 4x = 298
=> x = 74.5
Scores on the test are as below:
First = 74.5, Second = 68.5, Third = 82
Answer by Paul(988) (Show Source): You can put this solution on YOUR website!
First score is x+6
Second score is x
Third score is y
Equation 1:
x+6+x+61=y
y=2x+67 (subsitution)
Equation 2:
x+x+6+y=225
2x+6+2x+67=225
4x=152
x=38
38+6=44
38(2)+67=143
Hence, the score on the first test was 44, on the second test was 38 and on the third test was 143.
Paul.
RELATED QUESTIONS
Could someone help me with his word problem? Solve by any method and show equations... (answered by Nate)
Could someone please help me with this tricky word problem??? The demand and supply... (answered by jim_thompson5910)
Hi! I am a 7th grade pre-algebra student and I was trying to complete a homework packet... (answered by stanbon,LinnW)
I need help with this problem. : Select any two integers between -12 and +12 which... (answered by Theo)
could someone please help me with this problem? Solve the following system of... (answered by mukhopadhyay)
I know how to solve systems of linear equations using the substitution method, the... (answered by Earlsdon)
I am so confused by this. My mom tried to help me but she doesn't understand either.... (answered by Mathtut)
Could someone please help me solve this problem and also could you show me how you came... (answered by algebra help tutor)
Can someone please help me with this "setting fares" word problem? a bus company has... (answered by ankor@dixie-net.com)