12.16 Aim 51 System Word Problems
December 16, 2016
Copy down tonight's homework
HW - Aim 50
Copy down tonight's homework
HW - Aim 51
Test Thursday 12/22 Aims 42 - 54
Aim 51: How do we solve system word problems?
Solve by setting up a system of equations:
The sum of two numbers is 6. Their difference is 4. Find the
smaller number.
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12.16 Aim 51 System Word Problems
December 16, 2016
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12.16 Aim 51 System Word Problems
December 16, 2016
HW - Aim 50
Solve each word problem algebraically by setting up a
system of equations. Show all work!
1) The sum of two numbers is 14. If the larger number
equals the smaller number increased by 9, what are the
numbers?
2) At Gino‛s Pizzeria, the total price for 5 large pizza pies
and 2 medium pizza pies is $81.50. The total for 4 large
pizza pies and 3 medium pizza pies is $78.50. What is the
price of a large pie and the price of a medium pie?
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12.16 Aim 51 System Word Problems
December 16, 2016
Solve each word problem algebraically by setting up a system of equations.
Show all work!
1) Membership at Planet Fitness is $30 per month plus a one-time
registration fee of $60. Membership at Retro Fitness is $50 per month plus
a one-time registration fee of $20. After how many months will the
membership costs be the same at both gyms?
2) The talent show committee sold a total of 530 tickets in advance.
Student tickets cost $3 each and the adult tickets cost $4 each. They made
$1740 in ticket sales, how many of each type of ticket were sold?
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12.16 Aim 51 System Word Problems
December 16, 2016
3) Two small pitchers and one large pitcher can hold 8 cups of water. One
large pitcher minus one small pitcher constitutes 2 cups of water. How many
cups of water can each pitcher hold?
4) The postal service offers flat-rate shipping for priority mail in special
boxes. Today, Zane shipped 3 small boxes and 8 medium boxes, which cost
him $119 to ship. Meanwhile, Kristen shipped 6 small boxes and 9 medium
boxes, and paid $147. How much does it cost to ship these two sizes of box?
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12.16 Aim 51 System Word Problems
December 16, 2016
5) Judy worked 8 hours and Ben worked 10 hours. Their combined pay was
$80. When Judy worked 9 hours and Ben worked 5 hours, their combined
pay was $65. Find the hourly rate of pay for each person.
6) At a college bookstore, Carla purchased a math textbook and a novel that
cost a total of $54. If the price of the math textbook, m, is $8 more than 3
times the price of the novel, n, determine the price of each book.
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12.16 Aim 51 System Word Problems
December 16, 2016
7) Find the value of two numbers if their sum is 20 and their difference is 4.
8) An English test is worth 75 points. There are a total of 18 questions.
There are multiple choice questions that are worth 4 points each and short
answer questions that are worth 5 points each. How many of each type of
question are there?
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