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The soccer club has planned a trip to a tournament. The cost of the van is
$231. When 3 students who are not members of the club join the trip, the
transportation cost per person drops by $4.50. How many soccer club
members are going to the tournament?
A. 14
B. 11
C. -14
D. -14, 11

Sagot :

Answer: B: 11

Step-by-step explanation:

Just to the quiz for it

An equation is formed of two equal expressions. The number of players going to the tournament is 11.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Since the cost of the van is fixed, therefore, 231. Thus, the two equations can be written as,

  • P × x = 231
  • (P-4.50)×(x+3)=231

Solving the above two equations we will get,

Px + 3P - 4.50x -13.5 = 231

3P - 4.50x - 13.5 = 0

3P - 4.50x = 13.5

3(231/x) - (4.50x) = 13.5

693 - 4.50x² = 13.5x

-4.50x² - 13.5x + 693 = 0

x² + 3x - 154 = 0

x = -14, 11

Since the number of members can not be negative, the number of players going to the tournament is 11.

Learn more about Equation:

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