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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter5: Linear Inequalities
Section5.6: Graphing Ineualities In Two Variables
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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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