Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The members of Starville High School's student council are planning this year's school carnival. For the raffle, they plan to order one roll of 100100 golden tickets. For the carnival games, they plan to order red tickets that come in rolls of 250250. Based on last year's numbers, they plan to order a total of 1,6001,600 tickets.\newlineWhich equation can the student council use to find how many rolls of red tickets, rr, they should order?\newlineChoices:\newline(A) 250(r+100)=1,600250(r + 100) = 1,600\newline(B) 100(r+250)=1,600100(r + 250) = 1,600\newline(C) 100r+250=1,600100r + 250 = 1,600\newline(D) 250r+100=1,600250r + 100 = 1,600

Full solution

Q. The members of Starville High School's student council are planning this year's school carnival. For the raffle, they plan to order one roll of 100100 golden tickets. For the carnival games, they plan to order red tickets that come in rolls of 250250. Based on last year's numbers, they plan to order a total of 1,6001,600 tickets.\newlineWhich equation can the student council use to find how many rolls of red tickets, rr, they should order?\newlineChoices:\newline(A) 250(r+100)=1,600250(r + 100) = 1,600\newline(B) 100(r+250)=1,600100(r + 250) = 1,600\newline(C) 100r+250=1,600100r + 250 = 1,600\newline(D) 250r+100=1,600250r + 100 = 1,600
  1. Identify total tickets: Identify the total number of tickets needed and the breakdown of ticket types.\newlineThey need 1,6001,600 tickets in total, with 100100 being golden tickets and the rest being red tickets. So, the red tickets needed are 1,600100=1,5001,600 - 100 = 1,500.
  2. Understand roll sizes: Understand the roll sizes for each ticket type.\newlineGolden tickets come in rolls of 100100, and red tickets come in rolls of 250250.
  3. Set up equation for red tickets: Set up the equation to find the number of rolls of red tickets, rr. Since each roll of red tickets contains 250250 tickets, and they need 1,5001,500 red tickets, the equation is 250r=1,500250r = 1,500.
  4. Solve equation for r: Solve the equation for r.\newlineDivide both sides of the equation by 250250 to isolate rr: r=1,500250=6r = \frac{1,500}{250} = 6.
  5. Check provided equation choices: Check the equation choices provided to see which matches our derived equation. The correct equation that represents the situation is 250r+100=1,600250r + 100 = 1,600, which is option (D)(D).