Indiana Ridge Middle School wanted to add a new school sport, so they surveyed the students to determine which sport is most popular. Students were able to choose among soccer, football, lacrosse, or swimming. The same number of students chose lacrosse and swimming. The number of students who chose soccer was double the number of students who chose lacrosse. The number of students who chose football was triple the number of students who chose swimming. If 434 students completed the survey, how many students chose each sport?

Question

Red Velvet

Mathematics

10 September, 05:46

Indiana Ridge Middle School wanted to add a new school sport, so they surveyed the students to determine which sport is most popular. Students were able to choose among soccer, football, lacrosse, or swimming. The same number of students chose lacrosse and swimming. The number of students who chose soccer was double the number of students who chose lacrosse. The number of students who chose football was triple the number of students who chose swimming. If 434 students completed the survey, how many students chose each sport?

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Answers (1)

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Laila Blankenship · Answer 1

The correct answer is 62 lacrosse and 62 swimming, 124 soccer, 186 football

Step-by-step explanation:

The first number we need to obtain is the number of students that chose lacrosse and swimming, we need to start doing estimates to multiply by 2 and by 3 to obtain the number of students that chose soccer and football respectively. So we start with 62 students in lacrosse and swimming, if we multiply by 2 we get the number of students that chose soccer which is 124 and if we multiply by 3 we obtain the number of students that chose football which is 186.

The first number you can obtain it by doing estimations and multiplying until you get all the numbers and the final total that is in this case 434 students choosing a sport.