Exercise 6.1 ok - Exercise 6.1 Applications of Systems of...

Exercise 6.1
Applications of Systems of Linear Equations
Name: ____________________________________________ Date: ___________________
Course/Year/Section: ________________________________ Score: __________________
Use systems of linear equations to solve each word problem.
1. On January 22nd, 2006, Kobe Bryant scored 81 points against the Toronto Raptors.
Including three pointers, two pointers, and free-throws he made 46 shots. He made ‐ ‐
three times as many two point shots as three point shots. How many free throws ‐ ‐ ‐
did Kobe Bryant make?
2. Pure acid is to be added to a 10% acid solution to obtain 54 L of a 20% acid solution.
What amounts of each should be used?
3. A limestone statue is 56 years older than a marble statue. In 12 years, the limestone
will be three times as old as the marble statue. Find the present age of the statues.
4. A car travels 250 km in the same time that a truck travels 225 km. If the speed of the
car is 8 km per hr faster than the speed of the truck, find both speeds.
5. The measure of the largest angle of a triangle is 12
0
less than the sum of the
measures of the other two. The smallest angle measures 58 0 less than the largest.