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?
1 answer:
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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