Answer:
large box weights 40 pounds & small box weights 35 pounds
Step-by-step explanation:
We can write 2 equations and solve simultaneous.
Let x be weight of large box and y be weight of small box
"The combined weight of a large box and a small box is 75 pounds.":
[tex]x+y=75[/tex]
"The truck is transporting 70 large boxes and 65 small boxes. If the truck is carrying a total of 5075 pounds":
[tex]70x+65y=5075[/tex]
Now we can solve for x in the first equation, which is x = 75 -y
We now substitute this into the 2nd equation and solve for y:
[tex]70x+65y=5075\\70(75-y)+65y=5075\\5250-70y+65y=5075\\-5y=5075-5250\\-5y=-175\\y=35[/tex]
Using y = 35 and plugging that into the 1st equation, we can solve for x:
[tex]x+y=75\\x+35= 75\\x= 75 - 35\\x=40[/tex]
Hence, large box weights 40 pounds & small box weights 35 pounds
