Stacey is selling tickets to the school play. The tickets are $6 for adults and $4 for children. She sells twice as many adult tickets as children's tickets and brings in a total of $224. How many of each kind of ticket did she sell?
Let C be the number of children tickets and A be the number of adult tickets.
6A + 4C = 224
A = 2C
6A + 4C = 224
6(2C) + 4C = 224
12C + 4C = 224
16C = 224
C = 14
Thus, A = 2C = 2(14) = 28
This means that there were 14 children tickets and 28 adult tickets.
a = 2 c
6 a + 4 c = 224
substituting for a ... 6 (2 c) + 4 c = 224 ... 12 c + 4 c = 224
solve for c , then substitute back to find a
🚨🛑⛔️ ! IMPORTANT ALERT FOR ALL STUDENTS! ⛔️🛑🚨
Thank you for the attention that is probably unnecessary. This website is for cheating. When you cheat, you do remember what you are learning about. 🤣 Therefore, by cheating you will pass the standardized testing. Once you pass the standard testing, your school will see that and say "Congratulations! You are WAY too smart for virtual learning, so we are putting you to an advanced public school!" You will then proceed to go to school in a mask, (to cheat) and GAIN 23% of brainpower because your brain will cheat. If you need all that to realize the benefit of cheating, continue. Once you gain 46% (2 years) of brainpower, you will look back and ask why you didn't help other students cheat. Cheating is a joke, now more than ever. Please, I beg you CHEAT FOR YOUR OWN SANITY!
To solve this problem, we can set up a system of equations based on the given information.
Let's assume the number of children's tickets sold is 'x'.
According to the problem, Stacey sells twice as many adult tickets as children's tickets. So, the number of adult tickets sold would be '2x'.
The price of each children's ticket is $4, so the total revenue from selling children's tickets would be 4x dollars.
The price of each adult ticket is $6, so the total revenue from selling adult tickets would be 6(2x) or 12x dollars.
According to the problem, the total revenue brought in is $224. So, the equation becomes:
4x + 12x = 224
Combining like terms:
16x = 224
To solve for x, we divide both sides of the equation by 16:
x = 224/16
Simplifying:
x = 14
So, Stacey sold 14 children's tickets.
Since she sold twice as many adult tickets, she sold 2x as adults:
2x = 2 * 14 = 28
Therefore, Stacey sold 28 adult tickets.
In conclusion, Stacey sold 14 children's tickets and 28 adult tickets.
🚨🛑⛔️ ! IMPORTANT ALERT FOR ALL STUDENTS ! ⛔️🛑🚨
Thank you for the instruction. This website is not for cheating. When you cheat, you do not remember what you are learning about. Therefore, by cheating you will fail the standardized testing. Once you do fail the standard testing, your school will see that and say "Due to fails, Virtual is no longer an option." you will then proceed to go to school in a mask, (like other students) and lose 23% of your brain power because your brain will not get oxygen. If you need all that to realize the issue of cheating, continue. Once you lose 46% (2 years) of your brain power, you will look back and ask why you cheated. Cheating is not a joke, now more than ever. Please, I beg you DO NOT CHEAT FOR YOUR OWN SANITY!
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