Answer:
92 attendees had activity cards
Step-by-step explanation:
Let x be the number of students with activity cards. Then 130-x is the number without, and the total revenue is ...
7x +10(130 -x) = 1024
7x +1300 -10x = 1024 . . . . eliminate parentheses
-3x = -276 . . . . . . . . . . . . . collect terms; subtract 1300
x = 92 . . . . . . divide by 3
92 students with activity cards attended the dance.
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<em>Comment on the solution</em>
Often, you will see such a problem solved using two equations. For example, they might be ...
Let 'a' represent the number with an activity card; 'w' the number without. Then ...
- a+w = 130 . . . . the total number of students
- 7a +10w = 1024 . . . . the revenue from ticket sales
The problem statement asks for the value of 'a', so you want to eliminate w from these equations. You can do that using substitution. Using the first equation to write an expression for w, you have ...
w = 130-a
and making the substitution into the second equation gives ...
7a +10(130 -a) = 1024
This should look a lot like the equation we used above. There, we skipped the extra variable and went straight to the single equation we needed to solve.
The answer is 5 over 5 if i’m wrong sorry khcxkgxloyxh
Answer:
11x=0
Step-by-step explanation:
400 pages in 5 days
but 120 on the first day
so 400-120=280
280 is what he read in the 4 days following
so divide 280 equally among the 4 days
You get 70 per day after the first
Solution: Let x be the height of a student in Marta's class.
The mean height of 18 students in Marta's class is 60 inches
We know that:




Therefore, the total measure of all 18 student's heights is 1080 inches