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A fruit company delivers its fruit in two types of boxes large and small. A delivery of 2 large boxes and 12 small boxes
has a total weight of 223 kg. A delivery of five large boxes and 3 small boxes has a total weight of 139 kg.
How much does each type of box weigh?
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From the condition, write two equations
2x + 12y = 223 (1)
5x + 3y = 139 (2)
Solve the system using the determinant method (the Cramer's rule)
x = = 18.5,
y = = 15.5.
ANSWER. 18.5 kg for a large box and 15.5 kg for a small box.
Solved.
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On the Determinants' method for solving the systems of two linear equations in two unknowns see the lessons
- Solution of the linear system of two equations in two unknowns using determinant
in this site.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lesson is the part of this online textbook under the topic "Systems of two linear equations in two unknowns".
Save the link to this online textbook together with its description
Free of charge online textbook in ALGEBRA-I
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to your archive and use it when it is needed.