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(System word problems, 13 points)

Basketball tickets were $5 for floor seats
$2 for the grandstand seats
I’d 210 people attended and paid $660, how many people bought floor seats?

1 Answer

14 votes

Answer:

130 people's bought floor seats ...

Step-by-step explanation:

→ First , we need to identify and define the unknown terms.

F: # of floor seats sold

G: # of grandstand seats sold

• F + G = 210 {210 is the total number of seats sold}

• 5F + 2G = 660 {the 5 , 2 and 660 refer to amounts of dollars} .

→ We now have two equations in two unknowns , which we should be able to solve.

→ Let's solve the first equation for G, and then substitute the value of G into the second equation , so that we have will have a single equation with only F as the unknown ...;

→ F represents the number for which we are looking: The number of floor seats sold.

Let's find numbers of people's bought floor seat:

F + G = 210

F - F + G = 210 - F

G = 210 - P

→ 2F+ 5G = 660

→ 2F + 5(210 - F) = 660

→ 2F + 1050 - 5F = 660

→ - 3F + 1050 = 660

→ - 3F + 1050 - 1050 = 660 - 1050

→ - 3F = - 390

→ F = - 390 / - 3 = 130

→ F = 130

• Hence , 130 people's bought floor seats ...

Hope this helps you :) ...

#Carry on learning# :) ...

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