Basic Arithmetic - Basic Math

The team has won 5 games.

The number of played games is 25.

Therefore, the ratio of winnings to the total is:

Since the soccer team has won 8 out of 10 games, they have 8 winning games and 2 losing games.

Therefore, their win to loss ratio is:

This ratio can be reduced to:

A diving team that wins 6 competitions out of 10 will have 6 winning meets and 4 losing meets. Therefore, their lose to win ratio is:

This can be reduced to:

First, you want to figure out the total cost of your purchase by adding up the price of all the items you are buying:

Then, you find the tax you will pay on this total by taking 7% of $35:

You add the cost of your purchase plus the tax to find the total amount that you have to pay:

First you find the total amount of sales that Joe made yesterday by adding the cost of each item he sold:

Joe sold $20,000 worth of furniture yesterday. He makes 15% commision, so we find 15% of 20,000:

Joe made $3,000 from commission yesterday.

First you find the total amount of sales that Sara made this week by selling six lamps at $200 a piece:

Sara gets a 6% commission on her sales, so next you find what 6% of 1,200 is:

So, Sara makes $72 from commission this week. However, we can't forget about the $500 weekly salary she also gets! We add her week's commission plus weekly salary to find the total amount she makes during this particular week:

We can interpret the information given in the question as "150 is 8% of some number, or whatever amount Maggie's sale is." We can turn this sentence into algebra by calling "some number" x:

From here, we solve for x by isolating it on one side of the equation:

Maggie's sale was $1,875.

From the information given in the question, we can ask ourselves the following question- $120 is what percent of $670? We can turn this into algebra by calling "what number" x:

From here, we solve for x by isolating it on the right side of the equation:

Rounding to the nearest tenth gives us 17.9, so the final answer is 17.9%.

First, add 6 to both sides so that the term with "x" is on its own.

Now, divide both sides by 2.

The answer is . The goal is to isolate the variable, , on one side of the equation sign and have all numerical values on the other side of the equation.

Since is a negative number, you must add to both sides.

Then, divide both sides of the equation by :

Start by isolating the term with to one side. Add 10 on both sides.

Divide both sides by 7.

When solving an equation, we need to find a value of x which makes each side equal each other. We need to remember that is equal to and the same as . When we solve an equation, if we make a change on one side, we therefore need to make the exact same change on the other side, so that the equation stays equal and true. To illustrate, let's take a numerical equation:

If we subtract from each side, the equation still remains equal:

If we now divide each side by , the equation still remains equal:

This still holds true even if we have variables in our equation. We can perform the inverse operations to isolate the variable on one side and find out what number it's equal to. To solve our problem then, we need to isolate our term. We can do that by subtracting from each side, the inverse operation of adding :

We now want there to be one on the left side. is the same thing as , so we can get rid of the 6 by performing the inverse operation on both sides, i.e. dividing each side by :

is therefore our final answer.

Start by adding 10 to both sides of the equation.

Then, divide both sides by .

First start by distributing the 7.

Now, add both sides by 14.

Finally, divide both sides by 7.

First, add to both sides of the equation:

Then, divide both sides by :

To get the reciprocal of a fraction, you simply switch the numerator and the denominator.

In our case our numerator is and our denominator is .

So becomes .

To find the reciprocal of a fraction, we simply need to switch the numerator and the denominator: for example, the reciprocal of a fraction is .

With integers, it helps to remember that all integers are really fractions with a denominator of :

, , and

The reciprocals of these numbers are and respectively.

Therefore, to solve the problem, we first need to find the reciprocals of and . If we keep in mind that , we can determine that the reciprocals are and , respectively. The product of these two numbers is:

is our final answer.

To find the reciprocal of a fraction, flip the numerator and the denominator.

Thus, the reciprocal of is .

Then we need to find the sum of 4 and 7, which is 11.

We will need to rewrite this in order to eliminate the negative exponent in the problem.

Because the denominator has a negative exponent, that is the same as having a positive exponent in the numerator. Therefore we can rewrite the problem as follows and then multiply.

To divide a term by a fraction, take the reciprocal of the fraction.

Then mutiply both terms.