2. Using Tape Diagrams
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Use a tape diagram to represent each ratio.
1260 tickets
We are given the ratio of sold tickets to unsold tickets for the first game of a baseball play. 7:3 For the second game, the ratio was 13:2 and there were 240 unsold tickets. Let's write the ratio for the second game as a tape diagram.
The unsold tickets has two parts, which means that these they represent the 240 unsold tickets. To obtain the amount of tickets represented by one part, we can divide 240 by 2. 240 ÷ 2 = 120 tickets Each part of the tape diagram represents 120 tickets. Since there are thirteen parts for sold tickets, we can multiply 120 by 13 to obtain the amount of sold tickets for the second game. 120 * 13 = 1560 tickets This means that 1560 tickets were sold for the second games. Now, let's write a tape diagram for the ratio of the first game.
We will assume that the total number of tickets for the first game is equal to the total number of tickets for the second game. Total tickets=240 + 1560 ↓ Total tickets=1800 From the tape diagram, we can see that there are ten parts that represents the 1800 tickets. We can divide 1800 by 10 to find how many tickets represents one part. 1800÷ 10 = 180 tickets This means that each part of the tape diagram for the first game represents 180 tickets. Finally, we can multiply this quantity by 7 to obtain the number of tickets that were sold for the first game. 180 * 7 = 1260 tickets