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1. The difference between two numbers is 72. Twice the smaller increased by the larger is 54. Determine the numbers.

1. The difference between two numbers is 72. Twice the smaller increased by the larger is 54. Determine the numbers.

Algebra: Structure And Method, Book 1
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
Chapter3: Solving Equation And Problems
Section3.6: Problem Solving: Using Charts
Problem 6P
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Name: MPM2D Linear Systems Self Evaluation Assignment 1. The difference between two numbers is 72. Twice the smaller increased by the larger is 54. Determine the numbers. 2. The perimeter of a rectangle is 1444cm. The length is 2cm more than three times the width. What are the dimensions of the rectangle? 3. A football costs three times as much as a basketball. In one month. 41 basketballs and 13 footballs were sold for a total of $1244. What is the price of one football? 4. A supermarket sells 2kg and 4kg bags of sugar. A shipment of 1100 bags of sugar had a total mass of 2900kg. How many 4kg bags of sugar were in that shipment? 5. In a laboratory, only 40% and 50% alcohol solutions were available. For an experiment, Feylin must use alcohol with a concentration of 45%. If 200L of the solution are needed, how many litres of each solution should be mixed?
Transcribed Image Text:Name: MPM2D Linear Systems Self Evaluation Assignment 1. The difference between two numbers is 72. Twice the smaller increased by the larger is 54. Determine the numbers. 2. The perimeter of a rectangle is 1444cm. The length is 2cm more than three times the width. What are the dimensions of the rectangle? 3. A football costs three times as much as a basketball. In one month. 41 basketballs and 13 footballs were sold for a total of $1244. What is the price of one football? 4. A supermarket sells 2kg and 4kg bags of sugar. A shipment of 1100 bags of sugar had a total mass of 2900kg. How many 4kg bags of sugar were in that shipment? 5. In a laboratory, only 40% and 50% alcohol solutions were available. For an experiment, Feylin must use alcohol with a concentration of 45%. If 200L of the solution are needed, how many litres of each solution should be mixed?
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