isabellaalarcon2132 isabellaalarcon2132
  • 04-02-2022
  • Mathematics
contestada

the container that holds the water for the football team is 2/5 full. After pouring in 8 gallons of water, it is 2/3 full. How many gallons can the container hold?

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sqdancefan
sqdancefan sqdancefan
  • 04-02-2022

Answer:

  30 gallons

Step-by-step explanation:

Let c represent the capacity of the container in gallons.

  2/5c +8 = 2/3c . . . . adding 8 gallons to 2/5 full gives 2/3 full

  8 = (2/3-2/5)c = 4/15c . . . . subtract 2/5c

  8(15/4) = c = 30 . . . . . . . . . multiply by 15/4

The container can hold 30 gallons.

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