There were some onions in a truck. A worker took 3/5 of the onions out of the truck. Another worker then took 3/4 of the remaining onions out of the truck. The second worker took out 240 pounds of onions. How many pounds of onions were in the truck at the start?

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sqdancefan sqdancefan · Answer 1 · 2024-04-30T17:31:58-04:00

Answer:

800 pounds

Step-by-step explanation:

You want to know the number of pounds of onions if 3/4 of the remaining onions after 3/5 were removed is 240 pounds.

After the first removal of 3/5 of the original x onions, the amount remaining is ...

x(1 -3/5) = 2/5x . . . . . . simplify

The second removal is 3/4 of this quantity, which is 240 pounds:

240 = 3/4(2/5)x . . . . . . substitute

240 = 6/20x . . . . . . . . . multiply

x = (20/6)(240) = 800 . . . . . multiply by 20/6

There were 800 pounds of onions in the truck at the start.

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Additional comment

The first worker took 480 pounds of onions, leaving 320 pounds.