First, we find how many seniors voted for him:

0.30 * 200 = 60 seniors

Then we find how many juniors using the same method

0.60 * 250 = 150 Juniors

Finally, we add the two together

60 + 150 = 210 students total

To solve this problem, we should set up the following proportion

where x is the percentage we are looking for.

To solve, simply cross multiply and solve for x.

Therefore, our answer is 52%.

Let's set up a proportion to solve this problem.

We're looking for a percentage, .

Our answer is 

The number of boys adds up to

The number of girls adds up to

The total number of students is therefore .

The percent of the students that are boys is

,

making 48% the closest choice.

We can set up a proportion to solve this problem. Remember that a percentage can be written as a fraction. 

Now we can cross-multiply to find our percent. 

Therefore, our answer is .

For Marisa to earn 50% more votes than Ted, she will need to earn 1.5 times his amount of votes. If we call Ted's amount of votes x, and the total number of votes is 250, we can set up the equation:

If we combine like terms, we get:

And if we solve for x, we get: 

This means that Ted will get 100 votes. Since there are 250 votes total, we can figure out that Marisa will end up with 150 votes. 

The question asks "how many more votes must Marisa win in order to defeat Ted and earn exactly 50% more votes than him?" and tells us that Marisa already has 88 votes. 

, therefore, Marisa needs to earn 62 more votes. 

This question involves the verbal cues "of" and "is."  "Of" means to multiply and "is" means equal. 

Thus the equation to solve becomes:  .

A 10% sale means that the post-sale price of the item is now 90%, or 0.9 of the original cost of the item. We then apply 9% sales tax by multiplying the 0.9 by 109%, or 1.09. 0.9 * 1.09 = .981, so the total cost of the item is 98.1% of the original pre-sale sticker price.

For percentage problems that do not deal with a specific starting number, it is always helpful to plug in 100 for the starting number. Here, we would then have a post-sale price of 90 dollars, and if we calculate the sales tax for the 90-dollar item it would be 90 * 0.09 = $8.10. THis gives us a total cost of 90 + 8.10 = $98.10, or 98.1% of the original 100-dollar price.

To find the amount of sales tax, take the difference in the total before and after tax  and divide by the price before tax.  This gives 0.08 or 8%.

Since we know the total price with tax, we simply need to work backwards to remove the tax from the total price and find the price of the clothing itself. This can be done as follows:

Clothing Price or C = Total price / 1 + tax rate

C = $127.50/(1 + 0.0875) = $117.24