SOLUTION: This is a good one. I'm really stuck however and need some help.
Last week on an algebra test, the highest grade was 9 points less than three times the lowest grade. The sum o
Algebra ->
Customizable Word Problem Solvers
-> Geometry
-> SOLUTION: This is a good one. I'm really stuck however and need some help.
Last week on an algebra test, the highest grade was 9 points less than three times the lowest grade. The sum o
Log On
Question 53351This question is from textbook Elementary and Intermediate Algebra
: This is a good one. I'm really stuck however and need some help.
Last week on an algebra test, the highest grade was 9 points less than three times the lowest grade. The sum of the two grades was 135. Find the lowest and highest grades on the test. This question is from textbook Elementary and Intermediate Algebra
x + y = 135 (equation 1) [This means that the sum of the highest and lowest grade is 135]
y = 3x - 9 (equation 2) [This means that the highest grade is 9 points lesser than 3 times the lowest grade]
We will now substitute equation 2 into equation 1.
x + (3x - 9) = 135 [The y in equation 1 is now (3x - 9) from equation 2]
4x - 9 = 135
4x = 144
x = 36
We now know that the lowest grade is 36.
(