A few days ago
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# i need help with an algebra question…?

a movie theater charges \$4.75 in the day and \$7.50 in the evening. at the end of one day, they sold 310 tickets and made \$2,022.50. how many tickets were sold in the day time, and how many were sold in the evening?

i would really appreciate it if you would also explain how this equation is solved cuz i completely forgot how to do it

thank you soo much

A few days ago
Anonymous

well you should set up a system of equations: 2 variables. we’ll say x is the number of tickets sold in the day, and y the number of tickets sold in the evening.

if they sold 310 tickets in one day equaling \$2022.50 then set up this system of equations:

4.75x + 7.50y = 2022.50

x + y = 310

since you know that 310 tickets were sold (so that’s day tickets [x] plus evening tickets [y]) and you have the prices of the tickets and the amount that sold. so the next thing to do is to solve for either x or y, your choice. let’s say x…

i’d use substitution.

x = 310 – y

(see how you rearrange the 2nd equation to solve for x)

then plug in the x value in the other equation to solve for y.

4.75(310-y) + 7.50y = 2022.50

solve:

1472.5 – 4.75y + 7.50y = 2022.50

1472.5 + 2.75y = 2022.50

2.75y = 547

y = 547/2.75

y = 198.91

so approx. 198 were sold in the evening. so 310 – 198 = 112. so then 112 were sold in the day.

hope that helps!!

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A few days ago
Jason
The variable x should stand for the number of tickets sold in the day and y should be the number of tickets sold in the evening. So this problem is a system of equations

4.75x + 7.50y= 2022.5

and

x+y= 310

ok so now it could be kind of confusing. the 2nd equation could be changed to x= 310-y. So you plug the x into the first equation and solve for y. After you found the y value just use the second equation x+y=310 and plug in the y and solve.

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A few days ago
mathvideosonline.com
4.75x + 7.50y = 2022.50

x + y = 310

x=day tickets y=evening tickets 310=the total number of tickets

4.75(310-y) + 7.50y = 2022.50

1472.5 – 4.75y + 7.50y = 2022.50

1472.5 + 2.75y = 2022.50

2.75y = 550

y = 550/2.75

y = 200 tickets

x=310-200=110 tickets

http://www.math-videos-online.com/

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A few days ago
rotcfreak1
Ok, start off with the equation 4.75x + 7.50y=2022.50. Then, solve for one variable…as in x=2022.50 – 7.50y/ 4.75. After that, plug that equation in for x, and you’ll know what y is, then you just switch it and solve for x.
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A few days ago
b_burbach
Estimate is the big key. Estimate what you think the answer will be.
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A few days ago
Brianna G
okay, d equals day E equals evening

4.75d + 7.50e = 2,022.50 thats all i got so far srry.

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