MAT 1222 Rasmussen College Algebra Questions

Tykeyah HollisMAT1222 SECTION 02 Algebra
Mr. Feinberg
10/21/21
Let a represent the price of an adult ticket.
Let c represent the price of a child ticket.
On the first day, she sells 6 adult tickets and 5 children tickets for a total of
$112.50.
This can be represented as: 6𝑎 + 5𝑐 = 112.50 (Equation 1)
On the second day she sells 8 adult tickets and 4 children tickets for a of total of
$130.
This can be represented as: 8𝑎 + 4𝑐 = 130 (equation 2)
We now have two equations:
6𝑎 + 5𝑐 = 112.50
8𝑎 + 4𝑐 = 130
Now we will use the elimination method to solve the system of equations. We will
eliminate the a variable, which means we need to find a common multiple for the
coefficients of a (6 and 8), which is 24. Therefore, we need to multiply each
equation as needed so the coefficients cancel out. So we multiply equation 1 by 4
and equation 2 by -3.
Equation 1: 24𝑎 + 20𝑐 = 450
Equation 2: -24𝑎 – 12𝑐 = −390
Now we add these two equations, which will make the a terms cancel and we will
solve for c:
8𝑐 = 60
𝑐 = 7.5
Now we can substitute c = 7.5 from equation 1 and solve for a
24𝑎 + 20𝑐 = 450
24𝑎 + 20(7.5) = 450
24𝑎 + 150 = 450
24𝑎 = 450 − 150
24𝑎 = 300
𝑎 = 12.5
The price of an adult ticket is $12.5 and the price of a child ticket is $7.5
MOWING A LAWN
.
JACK IS MOWING A LAWN
THAT HAS A SHED.
• FIND THE AREA OF THE LAWN
THAT JACK WILL MOW.
MOWING A LAWN
12x – 6
THE DIMENSIONS OF THE YARD AND
OF THE SHED ARE SHOWN HERE.
FIND A POLYNOMIAL THAT
DESCRIBES THE AREA OF THE LAWN
THAT NEEDS TO BE MOWED.
2x + 4
7x
4x
1. FIND THE AREA OF THE YARD
2. FIND THE AREA OF THE SHED
3. FIND THE AREA OF THE LAWN
BY SUBTRACTING THE SHED
AREA FROM THE YARD AREA
MOWING A LAWN
THE ASSIGNMENT MUST BE SUBMITTED AS A MICROSOFT WORD
DOCUMENT.
• INTERPRET ALL ANSWERS IN THE CONTEXT OF THE PROBLEM.
• USE THE EQUATION EDITOR FEATURE OF WORD TO FORMAT ALL
STEPS WORK SHOWN.
• SHOW ALL WORK AND EXPLAIN ALL STEPS.