Which of the following represents a system of equations that models the constraints: A total of 50 tickets were sold for a concert, consisting of adult tickets ( $$a$$ ) and child tickets ( $$c$$ ). Adult tickets cost $$10 each, and child tickets cost $$ 5 each, with total sales amounting to $400?

$$a + c = 50$$ and $$10a + 5c = 400$$

$$a + c = 400$$ and $$10a + 5c = 50$$

$$a + c = 50$$ and $$5a + 10c = 400$$

$$a + c = 400$$ and $$5a + 10c = 50$$

Which of the following systems of equations represents the constraints: A company produces $$x$$ tables and $$y$$ chairs. The total production is 200 units, and the production cost is $$20 per table and $$ 10 per chair, with a total cost of $3000?

$$x + y = 200$$ and $$20x + 10y = 3000$$

$$x + y = 3000$$ and $$20x + 10y = 200$$

$$x + y = 200$$ and $$10x + 20y = 3000$$

$$x + y = 3000$$ and $$10x + 20y = 200$$

Exploring Linear Equations and Graphs

Quiz

•

Mathematics

•

10th Grade

•

Practice Problem

•

Medium

•

MS.CCR.MA.9-12.A-REI.10, MS.CCR.MA.9-12.A-CED.2, MS.CCR.MA.9-12.A-REI.3

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Amanda Eddings

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15 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

MS.CCR.MA.9-12.A-CED.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

(1, 5)

(0, 0)

(2, 4)

(3, 8)

Tags

MS.CCR.MA.9-12.A-REI.10

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

MS.CCR.MA.9-12.A-REI.3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

MS.CCR.MA.9-12.A-CED.3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

(2, 2)

(0, 4)

(4, 0)

(1, 3)

Tags

MS.CCR.MA.9-12.A-REI.10

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

MS.CCR.MA.9-12.A-CED.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

MS.CCR.MA.9-12.A-CED.3

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