a fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 2 small boxes has a t otal weight of 73 kg. A delivery of 8 large boxes and 4 small boxes has a total weight of 177 kg. how much does each type of box weigh?
2 answers:
Answer:
x = the wight of the large box
y = the weight of the small box
A delivery of 3 large boxes and 2 small boxes has a total weight of 73 kilograms.
3x + 2y = 73
A delivery of 8 large boxes and 4 small boxes has a total weight of 177 kilograms.
8x + 4y = 177
by solving the system of equations
3x + 2y = 73
8x + 4y = 177
we find
x = 15.5 kg
y = 13.25 kg
the large box weights 15.5 kg.
the small box weights 13.25 kg.
Answer:
Step-by-step explanation:
3L + 2S = 73 .....multiply by -2
8L + 4S = 177
---------------------
-6L - 4S = - 146 (result of multiplying by -2)
8L + 4S = 177
--------------------add
2L = 31
L = 31/2
L = 15.5 <=== large boxes weigh 15.5 kg (or 15 1/2 kg)
3L + 2S = 73
3(15.5) + 2S = 73
46.5 + 2S = 73
2S = 73 - 46.5
2S = 26.5
S = 26.5 / 2
S = 13.25 <=== small boxes weigh 13.25 kg (or 13 1/4 kg)
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