Question #76013

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Question #76013

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Answer 1 · 2017-08-26T00:36:26

See explanation

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 $\frac{something}{something}$ $"something"/"something"$ for now.

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

$\frac{n}{something}$ $n/"something"$

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

$\frac{n}{7}$ $n/7$

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

$= 30$ $=30$

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

$\frac{n}{7} = 30$ $n/7=30$

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

$7 \times \frac{n}{7} = 30 \times 7$ $7timesn/7=30times7$

$cancel7timesn/cancel7=210$

$n=210$

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

$210/7=30$

$30=30larr$ TRUE

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Question #76013

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