Drag each number to the correct location on the equations. Each number can be used more than once, but not all numbers will be u

Question

1 year ago

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Drag each number to the correct location on the equations. Each number can be used more than once, but not all numbers will be u

sed. Roy and Elisa are buying tickets for the annual school concert. Roy buys 6 adult tickets and 2 child tickets for a total of $66. Elisa buys 5 adult tickets and 4 child tickets for a total of $62. Determine the system of equations that can be used to find the cost of one adult ticket, a, and the cost of one child ticket, c.
62 5 128 6 4 66 2 8
Roy:__a + __c =__
Elisa:__a+__c =__

Mathematics

1 answer:

7nadin3 [17] · Answer 1 · 2023-11-06T06:08:40+03:00

The system of equations to find the cost of one adult ticket, a, and the cost of one child ticket, c are Roy's; 6a+2c=66 Elisa's 5a+4c=62.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let's consider adults tickets be a and child tickets be c

so

Roy's purchase

6a+2c=66------1

Elisa's purchase

5a+4c=62-------2

Hence, the system of equations

6a+2c=66------1

5a+4c=62-------2

solving simultaneously

6a+2c=66

5a+4c=62

Also,

12a+4c=132

-5a+4c=62

7a=70

a=$10

put a=70 in 1

6(10)+2c=66

60+2c=66

2c=66-60

2c=6

c=$3

Learn more about equations here;

brainly.com/question/10413253

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