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Suppose thal on 1720 mile flight from Seatile to Chicago. Alaska, Southwest, and Delta Alrlines flew total of 500 emply seats. costing tnem total of 5139,836_ costs...

Question

Suppose thal on 1720 mile flight from Seatile to Chicago. Alaska, Southwest, and Delta Alrlines flew total of 500 emply seats. costing tnem total of 5139,836_ costs 18 cents per mile for each empty seat on Alaska cents per mile for each empty seat on Southwest and 17 cents per mile for each emply seat on Delta_ If Delta has twice as many empty seats as Southwest; how many emply seats did each of these three airlines carry on ts flight?Deline the variables:What lypes ol information do you have? O

Suppose thal on 1720 mile flight from Seatile to Chicago. Alaska, Southwest, and Delta Alrlines flew total of 500 emply seats. costing tnem total of 5139,836_ costs 18 cents per mile for each empty seat on Alaska cents per mile for each empty seat on Southwest and 17 cents per mile for each emply seat on Delta_ If Delta has twice as many empty seats as Southwest; how many emply seats did each of these three airlines carry on ts flight? Deline the variables: What lypes ol information do you have? Organize it in & table Set up equations and use the calculator t0 solve the system: State solution in complete sentence wilh apprapriate units



Answers

Write a system of two equations in two unknowns for each problem. Solve each system by substitution.
Flying to Vegas. Two hundred people were on a charter flight to Las Vegas. Some paid $\$ 200$ for their tickets and some paid $\$ 250 .$ If the total revenue for the flight was $\$ 44,000$ then how many tickets of each type were sold?

Okay, so we're given that there were 1000 more students at soccer games and nonsense. So students is equal to 1000 more in the non students work on it. And and then student tickets were sold port for 8.5, whereas non student tickets were sold for 13.25 and the total revenue was 75,925 were asked how many tickets were soda beats type. Okay, so we'll replace our this us with this one right here you have 8.5 times 1000 plus and okay, so we have 8.5 times. 1000. That's 85,000 plus 8.5 and and paint knowledge. Subtract herbal side Spy 85,000. So the night 75 95 1 is 85 Low home. That's equal to 67 or 25 which is equal to 8.5 plus 13.25 That's 21.75 and now divide both sides by 21.75 So that gives me there were 3100 non students who attended. That means for the students stewards 1000 more than that. So the non students were there were 4100 are sorry for the students. There is 4100. And for the non students there was to be that wasn't

This is a question number 48. Let eggs. You present the distance from Los Angeles to ST Louis's and why you present the distance from San Luis to Cincinnati and that is equal to the distance from Cincinnati. Do you? You're right. Your daughter distances 2400 and 80 right so we can write your X plus y. Plus that is equal to do for a zero, right? No. The distance from no centers toe sample raises 50 miles more than five times. It is just between plant Your is to Cincinnati. So here we can write X is equal buying white bliss. 50. Right so we can write your X minus by wife. Is it total 50 right and your 110 months left and three times the distance from Cincinnati to New York. That's where you can write. Your X is equal to treason. Minus 110 nights. We're going right to your X minus trees that is equal to negative. 110. No, right, the old mended medics for this you into regression. A year from the first decoration here, we can write 111 and on the right side. We have 2480 Like now here we hear one negative fly CEO and 50 one negative. 50 and 50 now from the car drove. So it from the start equation. You're right. 10 minus and negative. 100. And then, right. No, we want to make zero at this entry. So for this or operation is too minus bottle warned. And for the sentry or prohibition is our three minus one. So our new movement admit, Dixie, your first stories as idiots. You're one minus one is legal negative. Find negative one that he's negative. 60 to minus one. That is minus one and 50 minus 2 24 180 That is equal to negative. Through for zero, then here. One minus 10 zero minus one day minus one. Never to tree. Negative one. The physical do negative for And your negative. 100 minus two or a zero that is equal to negative. 2590 Right. No interest ain't second. And Todd So here, while to enter Jane or tree your first stories. Allergies? No. Right Thes turned roiled the second place Now, right? The second word to thoughtless. Now we want to make zero at this entry. So for this hour, rotation is our three minus six times, too. So your first Roy's Entities Second, Roy's also has the keys years Cereal. You're six minus 6 30 0 We're six. Multiply before that is 24 minus C. That is 23 now here 2500 and 90. Multiply by six minus two for 30 Do the acquittal. 123 Double 10 Right now from the tide roll, we can write you're 20 trees and is equal to 13 Double 10 Right? But here, 20 teams that n equals 13 numbered 10 If you're wondering about 10 do it better. NT three. That is a quarto 570 Right now, from the second row, we came right to your negative. Why negative? Four said, as you were doing negating 2590 No subject away in disfiguration, but y is equal to final and eagle minus forward. That what the media off said. And is that Lindsay Corridor right? So no, by 70. Multiply by four that is a double and zero right now, Government 40 to find and zero minus noble. Tow it. Zero. That is according to 210 No, from the first from the first row, we can right here, express wife less said equal before AIDS. You know, subject X in this aggression with your excuses for do beforehand. You know, minus my mind has said Here Y is equal to 31 10 cities, people to find Cera Dude. So here are next year's accordingly. 16 double jingle. So everything right here, this tends to be screaming Los Angeles too. Find Louise is 1600 miles now. The distance between ST Louis team stints in our days. 310 miles. No distance between soon Cincinatti doing New York. These why it's own. Do you mind? Thank you.

Okay, so we have two tickets that are sold, and the total amount better sold is 1 50 So let's put Exco Swine for a different type of took its. That's equal to 1 51 was sold for $5. 55 and the other was sold for eight. And the total, um, revenue was nine dirty. No, it's all for X and Y. So let's solve our first equation for X. And that's equal to 1 50 minus y plugging in X into this term. Here I gets five times 1 50 minus y. So I get five times 1 15 Did you go to 7 50? Minus five wine? Plus it's why is equal to 9 30 Let's subtract 7 50 from both sides to 9 30 minus 7 50 is equal to 1 80 and that's equal to three y Delighted by three we get. That's the people who saw who bought it for $8. There were 60 of them, and then the people who bought it for $5 there, where 1 51 60 of them, which is equal to 90

Okay, so we know that there were twice as many tickets, so to non students. So we'll call and non students, then two students for the annual play. So the non Syrians is equal to twice the students, okay? And the student tickets were $5 so we have five times s plus, um, and $8 for non students. Students are sorry. Um, that should be $6 for students and $11 for non students on a total revenue was 1540. You know that, Um, that's all we know. So we know that. And is you 22 s so we can plug in this and you here. So we have six s. I was 11 times to s. Did you go to 15 for? Oh, so that gives me 22 s plus success. So that's 28 as is equal to 15 for coal. So 15 for old divided by 28 is equal to 55. So there's 55 students who attended, and that means there was two times 55 with vehicle tomb 1 10 non students who attended


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