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omeli [17]
3 years ago
9

On the Algebra test the number of students who got a grade A was three more than twice the number of students who got lower grad

es. How many A's were there if total number of students in the Algebra class is 24?
Mathematics
1 answer:
svlad2 [7]3 years ago
4 0
X= # students who got lower grades
2x+3= # students with grade A

STEP 1:
Add the two sets above equal to 24.

x + (2x + 3)= 24
combine like terms

3x + 3= 24
subtract 3 from both sides

3x= 21
divide both sides by 3

x= 7 (# students lower than A)


STEP 2:
substitute x value from step 1 to find # grade A students

=2x + 3
=2(7) + 3
=14 + 3
=17 (# grade A students)


CHECK:
x + (2x + 3)= 24
7 + 2(7) + 3= 24
7 + 14 + 3= 24
24= 24


ANSWER: There were 17 students with grade A.

Hope this helps! :)
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