This question seems convoluted but is actually more simple than it seems. We are told that the number of girls and boys in the classroom are equal and that  of the girls are sophomores. We are then told that 24 of the boys are juniors, and that they represent a proportion of total boys equal to the proportion of sophomore girls to total girls. This means that:

  ==>       where  is the total number of boys.

If we know that the number of boys and girls in the class are equal, then the total number of students in the class = 112.

$3.26 can be exchanged for 1 big fenwick, or, equivalently, 24 tiny fenwicks. We can set up a proportion statement, where  is the number of tiny fenwicks for which $300 can be exchanged:

Solve for :

The answer is 2,209 tiny fenwicks, which can be counted up with division:

or 92 big fenwicks and 1 tiny fenwick.

Since all of the pizzas are of the same thickness and quality, to determine the best bargain, calculate the price per square inch of each. The least amount will mark the best bargain.

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A round pizza 10 inches in diameter for $5.99:

The area of the pizza in square inches is   

The cost per square inch:   or 7.6 cents

A round pizza 12 inches in diameter for $8.99

The area of the pizza in square inches is 

The cost per square inch:   or 7.9 cents

A 9 inch by 9 inch square pizza for $6.99

The area of the pizza in square inches is 

The cost per square inch:   or 8.6 cents 

A 10 inch by 10 inch square pizza for $7.99

The area of the pizza in square inches is 

The cost per square inch:  or 8.0 cents

A 12 inch by 8 inch rectangular pizza for $9.99:

The area of the pizza in square inches is 

The cost per square inch:   or 10.4 cents

The round pizza 10 inches in diameter for $5.99 is the best buy.

Multiply 2 miles by 5,280 feet per mile, then divide by 6 feet per fathom:

Divide 20 furlongs by 8 furlongs per mile, then multiply by 5,280 feet per mile.

Let's first find the number of annual subscribers:

The ratio of weekly subscribers to annual subscribers is therefore .

We start by finding the value of the mark down:

Therefore, the mark down is 43.8% or 0.438, which means that the new price of the suit is:

We start by finding Lilly's salary in 2012:

$60,000 x 1.20 = $60,000 + $12,000 = $72,000

Then we account for the annual 10% increase to find Lilly's salary in 2013:

$72,000 x 1.10 = $72,000 + $7,200 = $79,200

So Lilly's salary in 2013 was $79,200.

Since the amount of soda per dollar is the same for each company, we can equate the 2 ratios

And solve

(Cross multiply)

The first thing we must do is set up our equation. We do this by writing our earnings to hours worked ratio:

where  represents her earnings after working 25 hours.

We can then solve this equation for .

Then,