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9966 [12]
3 years ago
11

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 55 p

ounds. The truck is transporting 60 large boxes and 50 small boxes. If the truck is carrying a total of 3150 pounds in boxes, how much does each type of box weigh?

Mathematics
1 answer:
Natali [406]3 years ago
3 0

Answer:

Large boxes = 40 lbs.

Small boxes = 15 lbs.

Step-by-step explanation:

L = Large Box

S = Small Box

I started by making the equations, L + S = 55 and 60L + 50S = 3150. I made the first equation L = 55 - S and substituted that in for L in 60L + 50S =3150. After finding S, I plugged that back into L + S = 55 and got the answers.  

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=(3591/4000) ÷ (449/500)

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The results can be easily verified using a contingency table for a random sample of 4000 persons (assuming outcomes correspond exactly to probability):

===....B...~B...TOT

..A . 9 . . 1 . . 10

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So P(A|B)=9/408=3/136

P(~A|~B)=3591/3592

As before.

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