MAT 1100 Quantitative Reasoning Module 3 Lesson 3 Assignment 2

MAT 1100 Quantitative Reasoning Module 3 Lesson 3 Assignment 2
Student Name:
Solve the problems.
1) Ron and Kathy are ticket-sellers at their class play, Ron handling student tickets that sell for $1.00 each and
Kathy selling adult tickets for $4.50 each. If their total income for 25 tickets was $74.00, how many did Ron
sell?
Solution: Suppose that Ron sales x ticket. Since the total number of tickets sold were 25. Then will be
the number of tickets sold by Kathy. Then according to the question
Simplify we get
Thus, Ron sold 11 tickets.
2) There were 32,000 people at a ball game in Los Angeles. The day's receipts were $276,000. How many
people paid $13.00 for reserved seats and how many paid $6.00 for general admission?
A) 20,000 paid $13 and 12,000 paid $6 B) 11,000 paid $13 and 21,000 paid $6
C) 21,000 paid $13 and 11,000 paid $6 D) 12,000 paid $13 and 20,000 paid $6
Solution: Suppose that x number of people paid $13.00 for reserved seats, then 32,000 – x will be the number
of people paid $6.00 for general admission. Then according to the question
Hence, 12,000 paid $13 and 32,000 – x = 32000 – 12000 = 20,000 paid $6.
Therefore, option (D) is correct.
3) The perimeter of a rectangle is 82 m. If the width were doubled and the length were increased by 23 m, the
perimeter would be 164 m. What are the length and width of the rectangle?
Solution: Suppose that the length and width of the rectangle l and b respectively. Then the perimeter will be
,

MAT 1100 Quantitative Reasoning Module 3 Lesson 3 Assignment 2
If the width were doubled and the length were increased by 23 m, the perimeter would be 164 m, this implies
that
Subtract equation (1) from equation (2) we get,
Substitute value of b in equation (1) we get
Hence, length and width of the rectangle 25 m and 17 m respectively
4) The perimeter of a rectangle is 42 cm. One side is 9 cm longer than the other side. Find the lengths of the
sides.
A) width 18, length 23 B) width 20, length 20 C) width 6, length 15 D)
width 23, length 18
Solution: Suppose that the one side of the rectangle be x cm, then the other side will be cm. Since
perimeter is 42 cm, this implies that
Hence, one side is 6 cm and other side is 15 cm. therefore, option (C) is correct.
5) Ellen wishes to mix candy worth $1.80 per pound with candy worth $2.40 per pound to form 48 pounds of a
mixture worth $2.00 per pound. How many pounds of the more expensive candy should she use?
Solution: Suppose x number of candies worth $ 1.80 per pound, then will be the number of candies
worth$2.40 per pound. According to the question
Simplify we get,