Yao xin puts 3/10 liters of potting soil in each pot for planting flowers. she has 5 2\3 liters of potting soil. how many pots can yao xin fill?

We are required to find the number of pots Yao Xin can fill 18 8/9 pots

Given:

Total potting soil Yao Xin has = 5 2/3 liters

Potting soil in each pot = 3/10 liters

Number of pots Yao Xin can fill = Total potting soil Yao Xin has / Potting soil in each pot

= 5 2/3 liters ÷ 3/10 liters

= 17/3 ÷ 3/10

= 17/3 × 10/3

= (17 × 10) / (3 × 3)

= 170/9

= 18 8/9 pots

Therefore, the number of pots Yao Xin can fill is 18 8/9 pots

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Step-by-step explanation:

It is given that  The quantity of potting soil Yao Xin puts in each pot liters

Total quantity of potting soil she has =

Since it is given in mixed fraction, so convert it into improper fraction.

So, Total quantity of potting soil she has =

Now, The number of pots Yao Xin fill=

⇒ The number of pots Yao Xin can fill =

Therefore, the number of pots Yao Xin can fill =

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: