I need help with number 10 & 8 2/3100%7) Daniel and Scott each improved their yards by planting hostas and shrubs, Thuy bought itheirsupplies from the same store. Daniel spent S90 on 10 hostas and 2 shrabs, Scoti spen $69 on /hostas and 2 shrubs. Find the cost of one hosta and the cost of aneishrub.8) The school that Kathryn goes to is selling tickets to a spring musical, On the first day of ticketsales the school sold 3 adult tickets and4 student tickets for a totaliof 345. The schoolitook$34 on the second day by selling 2 adult tickets and 4 student tickenS. What is the priceone adult ticket and one student ticket?9) The senior classes at High School A and High SchoolB planned separateitrips to the county fairThe senior class at High School A rented and tilled 9 vans and 6 busas with 288 students. HighSchool B rented and filled 6 vans and 6 buses with 252 students. Each van andleach busthe same number of students. Find the number of students in each van and in jeach busimied10) The school that John goes to is selling tíckets to the annual dance competition On the first dayof ticket sales the school sold 10 senior citizen tickets and6 child tickets for a total of S140. Theschool took in $116 on the second day by selling 7 senior citizen tickets and 6 child tickers Findthe price of a senior citizen ticket and the price of a child ticket.Solve each equation by factoring.11) r-42 =x12)14) 5r+ 35 440r13) 3x - 15x=-18GALleg15) 2n+24CreLleg

Answered: 8) The school that Kathryn goes to is…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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I need help with number 10 & 8

2/3
100%
7) Daniel and Scott each improved their yards by planting hostas and shrubs, Thuy bought itheir
supplies from the same store. Daniel spent S90 on 10 hostas and 2 shrabs, Scoti spen $69 on /
hostas and 2 shrubs. Find the cost of one hosta and the cost of aneishrub.
8) The school that Kathryn goes to is selling tickets to a spring musical, On the first day of ticket
sales the school sold 3 adult tickets and4 student tickets for a totaliof 345. The schoolitook
$34 on the second day by selling 2 adult tickets and 4 student tickenS. What is the price
one adult ticket and one student ticket?
9) The senior classes at High School A and High SchoolB planned separateitrips to the county fair
The senior class at High School A rented and tilled 9 vans and 6 busas with 288 students. High
School B rented and filled 6 vans and 6 buses with 252 students. Each van andleach bus
the same number of students. Find the number of students in each van and in jeach busi
mied
10) The school that John goes to is selling tíckets to the annual dance competition On the first day
of ticket sales the school sold 10 senior citizen tickets and6 child tickets for a total of S140. The
school took in $116 on the second day by selling 7 senior citizen tickets and 6 child tickers Find
the price of a senior citizen ticket and the price of a child ticket.
Solve each equation by factoring.
11) r-42 =x
12)
14) 5r+ 35 440r
13) 3x - 15x=-18
GA
Lleg
15) 2n+24
Cre
Lleg

Expert Solution

Step 1

8)Let x represent the price of a adult ticket and let y be the price of a student ticket. It is given in the question that the school has generated an amount of $45 by selling 3 adult tickets and 4 student tickets on the first day which can be represent as;

$3 x + 4 y = 45 . . . . . . . (1)$

And similarly on the second day the school generated an amount of $34 by selling 2 adults tickets and 4 students tickets which can be represented as;

$2 x + 4 y = 34 . . . . . . . (2)$

Now to determine the value of each ticket, eliminate one of the two variables say y, by subtracting the second equation from the first equation and solve for x from the resulting equation as follows;

$\begin{array}{rcl} (1) - (2) & \Rightarrow \\ 3 x + 4 y = 45 - 2 x + 4 y = 34 x + 0 y = 11 \end{array}$

Therefore the price of one adult ticket is $11.

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