Paj is filling a 9-cubic-inch flower pot with soil from small bags. Each bag of soil contains 2 2/3
cubic inches of soil. Exactly how many bags of soil are needed for Paj to fill the flower pot?

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joaobezerra joaobezerra · Answer 1 · 2020-06-09T02:02:45+02:00

Answer:

3.375 bags of soil are needed for Paj to fill the flower pot

Step-by-step explanation:

This question can be solved using a rule of three.

One bag contains 2 + (2/3) = (8/3) cubic inches of soil. How many bags are needed to fill 9 cubic inches of soil?

1 bag - (8/3) cubic inches

x bags - 9 cubic inches

[tex]\frac{8x}{3} = 9[/tex]

[tex]8x = 27[/tex]

[tex]x = \frac{27}{8}[/tex]

[tex]x = 3.375[/tex]

3.375 bags of soil are needed for Paj to fill the flower pot

Parrain Parrain · Answer 2 · 2021-09-21T16:20:16+02:00

Paj needs 3.375 bags of soil to fill the bag.

Each bag contains 2²/₃ inch³ of soil and they need to fill up a 9 inch³ pot of soil.

First convert the mixed fraction to an improper one:

2²/₃ = 8/3

The number of bags needed is:

= Volume of pot / Quantity of soil in each bag

= 9 ÷ 8/3

= 9 x 3/8

= 3.375 bags of soil

Paj therefore needs 3.375 bags of soil to fill the pot

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