A fruit company has two types of boxes, large and small. A deliver of 3 large boxes and 2 small boxes weighs a total of 73 kilog
rams. A delivery of 8 large boxes and 4 small boxes has a total weight of 177 kilograms. How much does each type of box weigh?
1 answer:
Answer:
The answer to your question is the small box weighs 13.25 kg and the
large box weigh 15.5 kg
Step-by-step explanation:
Data
small box = s
large box = l
3 large boxes and 2 small boxes = 73 kg
8 large boxes and 4 small boxes = 177 kg
Process
1.- To solve this problem write equations
3l + 2s = 73 Equation l
8l + 4s = 177 Equation ll
2.- Solve the system of equations by elimination ( multiply equation l by -2). And add the equations.
-6l - 4s = -146
8l + 4s = 177
2l = 31
l = 31/2
l = 15.5 kg
3.- Find s
3(15.5) + 2s = 73
46.5 + 2s = 73
2s = 73 - 46.5
2s = 26.5
s = 26.5/2
s = 13.25 kg
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