trvptierra
02.04.2021 •
Mathematics
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 small boxes and 3 large boxes has a total weight of 114 kilograms. A delivery of 2 small boxes and 12 large boxes has a total weight of 213 kilograms. How much does each type of box weigh?
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Ответ:
According to the question, we have two box offices which can be represented as:
A
B = Box office that sold 86 more tickets A. This statement is represented algebraically as : A + 86
The total number of tickets sold = 792
Hence, our Algebraic expression = A + B = 792
Note: B = A + 86
A + A + 86 = 792
2A + 86 = 792
Collect like terms
2A = 792 - 86
2A = 706
Divide both sides by 2
2A/2 = 706/2
A = 353 tickets
Solving for B
B = A + 86 = 353 + 86
B = 439 tickets
Therefore,
Box office A sold 353 tickets
Box office B sold 439 tickets
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