# Translate this statement into an equation: M has five times as many quarters as s.

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In this equation, you have two variables. One stands for the number of quarters that M has and one stands for the number of quarters that S has. You can name these variables whatever you like, but we might as well call them M and S. So those stand for the number of quarters each has.

We know that M has 5 times as many as S. So we write the following equation:

M = 5S (Remember that 5S means 5 times S)

This makes sense because what this equation says is that the number of quarters M has (M) is equal to 5 times the number that S has (5S).

M had five times as many quarters as S.

Let S has x quarters:

Then S = x quarters

Let M has y quarters.

==> M = y quarters.

But M has 5 times the quarters.

Then,

**M = 5*S**

OR:

**y = 5*x **

'has' means equal.

Therefore, you get ...

5s=M

M=5s

M has five times as many quarters as s.

We have two variables here: M for the first person and s for the second person.

The phrase "five times as many as s" denotes multiplication ---> 5s

M has this much so we can set M equal to this value:

M = 5s

M has five times as many quarters as s

M=5s

M has 5 times as many quarters as S.

To convert thi above statement into an equation we proceed as follows:

First we pressume M have x quarters and S have y quarters.

By the information that M has 5 times as many quarters as S has, we get a relation between x and y:

x = 5y .

Here x and y are two variables.

The equation is also called the linear equation, as the varibles are in degree 1.

The other equivalent relations (or equation) are:

x-y = 0 , or y-x = 0 , or 0 = x-y.

To solve x and y we need two indepedent equations.