Answer:
Children: $13
Adults: $18
Step-by-step explanation:
Well for both sets we can set up the following system of equations,

So first we need to solve for a in the first equation.
3a + 4c = 106
-4c to both sides
3a = -4c + 106
Divide 3 by both sides
<u>a = -4/3c + 35 1/3</u>
Now we plug in that a for a in 2a + 3c = 75.
2(-4/3c + 35 1/3) + 3c = 75
-8/3c + 70 2/3 + 3c = 75
Combine like terms
1/3c + 70 2/3 = 75
-70 2/3 to both sides
1/3c = 4 1/3
Divide 1/3 to both sides
c = 13
Now we can plug in 13 for c in 3a + 4c = 106,
3a + 4(13) = 106
3a + 52 = 106
-52 to both sides
3a = 54
Divide 3 by both sides.
a = 18
<em>Thus,</em>
<em>an adult ticket is $18 and a children's ticket is $13.</em>
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<em>Hope this helps :)</em>
Answer:
4.75 pounds
Step-by-step explanation:
Before the termites: 5 pounds
After the termites: 1/4 of a pound
Amount that the termites took: x
5 - x = 1/4
Add x to both sides of the equation
5 = 1/4 + x
Subtract 1/4 from both sides of the equation
4 3/4 = x
4 3/4 = 4.75
The termites took 4.75 pounds from the log
Hope this helps :)
Step-by-step explanation:
5000 x 3 + 3.5% of 5000 x 3 = the answer
Answer:

Step-by-step explanation:
Given,
Art electives = 3,
History electives = 4,
Computer electives = 5,
Total number of electives = 3 + 4 + 5 = 12,
Since, if a student chooses an art elective and a history elective,
So, the total combination of choosing an art elective and a history elective = 
Also, the total combination of choosing any 2 subjects out of 12 subjects = 
Hence, the probability that a student chooses an art elective and a history elective = 

Which is the required expression.
It's called "solve the equation for 'y' ". That means move things
around so that you end up with 'y' all alone on one side, and
everything else on the other side.
You started with 9x - 7y = -7
Subtract 9x from each side: - 7y = -9x - 7
Divide each side by -7 : y = 9/7 x + 1