a. The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended? b. 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. c. The product of two numbers is 4, and the sum of their squares 17. What are these numbers?
a. The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended? b. 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. c. The product of two numbers is 4, and the sum of their squares 17. What are these numbers?
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
Problem 25P
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Solve each of the following word problems. Show your Solution.
a. The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?
b. 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.
c. The product of two numbers is 4, and the sum of their squares 17. What are these numbers?
Answers:( I just need the Solution)
a. There are 1500 children and 700 adults
b. The number is 25.
c. The numbers are ±4 and ±1.
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