Question

Item 8 Question 1 You and your friend are selling raffle tickets for a new laptop. You sell 14 more tickets than your friend sells. Together, you and your friend sell 58 tickets. a. Write a system of linear equations that represents this situation. Let x represent the number of tickets you sell and y represent the number of tickets your friend sells. System of equations: Question 2 b. How many tickets does each of you sell

Answer 1

Explanation:

Let x represent the number of tickets you sell and y represent the number of tickets your friend sells.

Given:

Number of tickets sold, x = y + 14

Total tickets sold = x + y

= 58

x + y = 58,

Since, x = y + 14

x + y = 58

y + 14 + y = 58

2y + 14 = 58

B.

2y = 58 - 14

= 44/2

= 22 tickets

x = 58 - 22

= 36 tickets

The number of tickets you sell = 36

The number of tickets your friend sells = 22

Answer 2

(a)x= y+14

(b)x=34, y=20

Explanation:

Let the number of tickets sold by your friend = y

Let the number of tickets sold by you=x

You sell 14 more tickets than your friend sells.

Number of tickets sold by you, x= y+14

(a) The system of linear equations that represents this situation is: x= y+14

(b)Together, you and your friend sell a total of 58 tickets.

x+y=54

Since x= y+14

(y+14)+y=54

2y+14=54

Subtract 14 from both sides

2y+14-14=54-14

2y=40

Divide both sides by 2

y=20

Recall, x= y+14

x=20+14=34

You sell 34 tickets and your friend sells 20 tickets.