Question #76013

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Answer 1 · 2017-08-26T00:36:26

See explanation

Let's break this down word for word:

The quotient of means that there will be some sort of division going on. We can express this #"something"/"something"# for now.

a number can be a variable and expressed as #n#. Thus far, we have an expression like this:

#n/"something"#

7 is simply #7# but the phrase The quotient of a number and 7... can be expressed as

#n/7#

Lastly, is 30. The is is the same as an equal sign. So is 30 gives us:

#=30#

Thus, the entire phrase: The quotient of a number and 7 is 30 can be written as:

#n/7=30#

If we wanted to find this number, we can simply solve for #n#

#7timesn/7=30times7#

#cancel7timesn/cancel7=210#

#n=210#

We can verify this by substituting #210# for #n# in the original equation:

#210/7=30#

#30=30larr# TRUE