If 5/9 of a tank can be filled in 2 minutes how many minutes will it take to fill the whole tank

Mathematics

1 answer:

asambeis [7]3 years ago

8 0

Answer:

3 3/5 minutes

Step-by-step explanation:

Let one measure of volume be 5/9 of a tank, or (5/9)(tank).

We're interested in filling the whole tank, which we represent by (1)(tank) or (9/9)(tank.

Write and solve an equation of ratios:

(5/9) (tank) 2 minutes

------------------- = ----------------

(9/9) (tank) x

Solve for x, which represents the number of minutes required to fill the whole tank:

(5/9)(x) = (9/9)(2), or (after simplifying) 5x = 18, or x = 18/5 (3 3/5 minutes)

The whole tank will be filled in 3 3/5 minutes.

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