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Plsss help asappppppppp

Plsss help asappppppppp-example-1
User Ahmed A
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Answer:

see explanation

Explanation:

(11)

let a represent adult tickets and y represent youth tickets , then

a + y = 240 → (1) ← based on number who went on Friday night

8a + 5y = 1440 → (2) ← based on sale of tickets

multiplying (1) by - 5 and adding result to (2) will eliminate y

- 5a - 5y = - 1200 → (3)

add (2) and (3) term by term to eliminate y

(8a - 5a) + (5y - 5y) = 1440 - 1200

3a + 0 = 240

3a = 240 ( divide both sides by 3 )

a = 80

substitute a = 80 into (1) and solve for y

80 + y = 240 ( subtract 80 from both sides )

y = 160

That is 80 adult and 160 youth tickets were sold

(12)

let x and y represent the 2 types of question (x for 2 points, y for 4 points )

x + y = 40 → (1) ← number of questions asked

2x + 4y = 100 → (2) ← bases on number of points awarded

multiplying (1) by - 4 and adding the result to (2) will eliminate y

- 4x - 4y = - 160 → (3)

add (2) and (3) term by term to eliminate y

(2x - 4x) + (4y - 4y) = 100 - 160

- 2x + 0 = - 60

- 2x = - 60 ( divide both sides by - 2 )

x = 30

substitute x = 30 into (1) and solve for y

30 + y = 40 ( subtract 30 from both sides )

y = 10

That is there were 30, 2 point questions and 10, 4 point questions in the test.

User Eakgul
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