# Math

Tickets for section A cost \$a each
Tickets for Section B cost \$b each

Johanna paid \$105 for 5 section A tickets and 3 section B tickets.
Raiyah Paid \$63 for 4 section A tickets and 1 section B ticket

Write 2 equations in a and b to represent the info.
1)5a+3b=105
2)4a+b=63
Is this correct?
And how do i calculate the values of a and b?

1. 👍
2. 👎
3. 👁
1. The equations are correct.

To solve, I would multiply both sides of the second equation by 3, then subtract equation 2 from 1. The b terms will have subtracted out.

1. 👍
2. 👎
👤
bobpursley
2. 5a +3b =105
- 12a + 3b =189
-7a = -84
; -84 ÷ -7 =12
a= 12

1. 👍
2. 👎

## Similar Questions

1. ### Math

Adult tickets for the school play cost \$5 and student tickets cost \$3. Thirty more student tickets were sold than adult tickets. If \$1770 was collected, how many of each type of ticket was sold?

2. ### math

You and your friend are selling tickets to a charity event. You sell 7 adult tickets and 16 student tickets for \$120. Your friend sells 13 adult tickets and 9 student tickets for \$140. What is the cost of a student ticket?

3. ### Math

A spinner has three sections. The table shows the results of spinning the arrow on the spinner 80 times. Section 1 18 Section 2 30 Section 3 32 What is the experimental probability of the arrow stopping over Section 3? A. 1/3 B.

4. ### algebra 1

A charity fair raised \$6,000 by selling 500 lottery tickets. There were two types of lottery tickets: A tickets cost \$10 each, and B tickets cost \$60 each. How many tickets of each type were sold?

1. ### math

The drama club sold \$779 worth of tickets to the school play. Student tickets cost \$3 apiece and tickets for everyone else cost \$5 each. What equation relates the number of student tickets that were sold, s, and the number of

2. ### math

Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost \$40 and same-day tickets cost \$20 . For one performance, there were 55 tickets sold in all, and the total amount paid for them was

3. ### math

A basketball team sells tickets that cost​ \$10, \$20,​ or, for VIP​ seats,​ \$30. The team has sold 3401 tickets overall. It has sold 133 more​ \$20 tickets than​ \$10 tickets. The total sales are​\$65960. How many

4. ### Math

Karen sells tickets a movie theater. Last night she sold 128 tickets for a total of \$1108. Adult's tickets cost \$10 and children's tickets cost \$6 how many of eac h kind of ticket did karen sell?

1. ### math

The table shows ticket prices at the movie 16 theater.Let a represent the number of adult tickets, c the number of childrens tickets and s the number of senior citizen tickets. adults cost:\$8.75 childrens cost:\$6.50 senior citizen

2. ### Algebra

The cost for an eighth-grade party is \$450 for room rental, entertainment, and decorations, plus \$20 per person for food. Tickets for the party are sold for \$25. What is the break-even point? A. 18 tickets

3. ### math

tickets for a football match are sold at \$30 for adults and \$15 for children a company bought 28 tickets if x of these tickets were for adults, write in terms of x a. the number of tickets for children b. the amount spent on

4. ### Math

Exactly 120 tickets were sold for a concert. The tickets cost \$12 each for adults, \$10 each for seniors, and \$6 each for children. The number of adult tickets sold was equal to the number of child tickets sold. Given that the