A baseball team sells tickets for two games. The ratio of sold tickets to unsold tickets for the first game was 7:3. For the second game, the ratio was 13; 2. There were 240 unsold tickets for the second game. How many tickets were sold for the first game?

Question

Mathematics

Andrea Hinton

13 February, 03:37

A baseball team sells tickets for two games. The ratio of sold tickets to unsold tickets for the first game was 7:3. For the second game, the ratio was 13; 2. There were 240 unsold tickets for the second game. How many tickets were sold for the first game?

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Answers (1)

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Isla Wu · Answer 1

Answer:1260 tickets were sold on the first game

Step-by-step explanation:

For the second game, the ratio of the number of sold tickets to number of unsold tickets is 13:2

Total ratio = 13+2 = 15

There were 240 unsold tickets for the second game. Let total number of tickets for the second game be x

This means that

240 = 2/15 * x

2x/15 = 240

2x = 15 * 240 = 3600

x = 3600/2 = 1800

1800 tickets were sold for the second game. Assuming total number of tickets for the first game is equal to total number of tickets for the second game. Therefore,

Total number of tickets sold for the first game is 1800

The ratio of sold tickets to unsold tickets for the first game was 7:3.

Total ratio = 7+3 = 10

Number of sold tickets for the first game would be

7/10 * 1800 = 12600/10

= 1260 tickets