Assignment 1 : MA1003
Applied Practice with Systems of Linear Equations
Use Cramer's Rule to solve the following system of equations.
1. The equations 5 2 48 x y and 3 2 32 x y represent the money collected from
school concert tickets sales during two class periods. If x represents the cost for each adult
ticket and y represents the cost for each student ticket, what is the cost for each adult
ticket?
2. The sum of the digits of a two-digit number is 7. When the digits are reversed, the
number is increased by 27. Find the number.
3. Michael is 4 times as old as Brandon and is also 27 years older than Brandon. How
old is Michael?
4. A large McDonald’s chocolate milkshake has 720 more calories than a double cheese
burger. Two double cheeseburgers and the large chocolate shake have a total of 2040 calo
ries. How many calories are in each item?
5. The length of a rectangle is equal to triple the width. Find the dimensions of the
rectangle if the perimeter is 80.