The Solution.
Representing the problem in a diagram, we have
By formula,
In this case,
Substituting these values in the formula above, we get
Clearing the bracket, we get
Dividing both sides by 2, we get
Therefore, the correct answer is option C.
You can work these in your head if you consider the revenue generated by the least contributor (children's tickets) and the difference in revenue between that and the larger contributor ($2.00 -1.50 = 0.50).
If all were children's tickets, the revenue would be 500*$1.50 = $750.00. The actual revenue exceeded that amount by $862.50 -750.00 = 112.50. This difference in revenue is made up by the sale of $112.50/$0.50 = 225 adult tickets. Then the number of children's tickets is 500 -225 = 275.
225 adult tickets were sold
275 children's tickets were sold.
_____
If you need an equation, you can write an equation using a variable for the number of adult tickets sold (the largest contributor).
.. (500 -a)*1.50 +a*2.00 = 862.50
.. 0.50a = (862.50 -750.00) . . . . . does this look familiar, yet?
.. a = 112.50/0.50 = 225
You can’t tell me show my work
First of all, try to understand the questions then try to make a pair of linear equations. After that make the coefficients of x or y equal in both RFD equations by multiplying them by suitable values then add or subtract them ,in such a way which will terminate any one of the variables. Then find the value of left variable. After that just put the value you have found just now In any of the equations and you'll really get the value of the second variable too.
Answer:
$12,000
Step-by-step explanation:
20% as a decimal is 0.20
30,000 x 0.20 = 6,000
If the employer matches that, the amount deposited is double.
6,000 x 2 = 12,000
That is probably the answer they want. Technically the question asks way *you* will have contributed, which is $6,000, but I don’t think they’re trying to make this a trick question. I would go with 12k
