A senior ticket costs $10, while a student ticket costs $8. You can solve this system of equations by the elimination method.
We can use x as the variable for the senior tickets, and y as the variable for the student tickets and represent it with these equations:
10x+12y=212 and 12x+14y=232
Next, multiply each entire equation by a variable so they can eliminate each other. I used 12 and -10 here so it would be 120x-120x to eliminate that variable.
12(10x+14y=212) and -10(12x+14y=232)
Our new equations are:
(120x +168y= 2544) and (-120x-140y=-2320)
You can then subtract one of the equations from the other leaving you with 28y=224 and solve it for y to get 8.
So the price of a student ticket is 8.
Pick any of the original equations and by replacing y with 8, you can solve to find x. (X is the variable we assigned for senior tickets)
10x+14(8)=212
10x+112=212
10x=212-112
10x= 100
1x=10
Answer:
Step-by-step explanation:
Given
Reader' Book Club
per book
Perfect Page
per book
Required
Write an inequality to represent the situation
<em>Represent the number of books with b</em>
First, we need to write an expression for Reader's book
This is:
= Membership + Books Read
For Perfect Page
This is
= Books Read
For Reader's club to be less than Perfect Page, we have:
Answer:
Step-by-step explanation:
If Avery wants the amount of dark chocolate (d) to be 10 kg higher than the amount of milk chocolate (m), then the following relationship must be true:
If the total amount of chocolate must equal 150 kg, then:
The system of equations that represent this situation is:
