If y varies directly as x and y = 12 when x = c, what is y in terms of c
when x = 8?

The number of calories burned while jogging varies directly with the
number of minutes spent jogging. If George burns 180 calories by
jogging for 25 minutes, how many calories does he burn by jogging for
40 minutes?

A used-car lot has 4-door sedans, 2-door sedans, sports cars, vans, and
jeeps. Of these vehicles, 40% are 4-door sedans, 25% are 2-door
sedans, 20% are sports cars, 10% are vans, and 20 of the vehicles are
jeeps. If this car lot has no other vehicles, how many vehicles are on the
used-car lot?

$$\frac{x}{z} = \frac{1}{3}$$
If in the equation above x and z are integers, which are possible values
of \(\frac{x^{2}}{z}\)?
I. \(\frac{1}{9}\)
II. \(\frac{1}{3}\)
III. 3

If s and t are integers, 8 < t < 40, and s/t = 4/7, how many possible values
are there for t?

In a certain college, the ratio of mathematics majors to English majors
is 3 : 8. If in the following school year the number of mathematics
majors increases 20% and the number of English majors decreases
15%, what is the new ratio of mathematics majors to English majors?

After a discount of 15%, the price of a shirt is €51. What was the
original price of the shirt?

In a movie theater, 480 of the 500 seats were occupied. What percent
of the seats were NOT occupied?

After a 20% increase, the new price of a radio is $78.00. What was the
original price of the radio?

At the end of the season, the ratio of the number of games a team has
won to the number of games it lost is 4 : 3. If the team won 12 games
and each game played ended in either a win or a loss, how many games
did the team play during the season?

If the result of increasing a by 300% of a is b, then a is what percent of
b?

There are 600 bottles of sports drinks in a store.
25% of the bottles are orange flavored drinks.
On Monday 30% of the orange flavored drinks
in the store were sold and on Tuesday 20% of the
remaining orange flavored drinks were sold. How
many bottles of orange flavored drinks were sold
in the two days?

What are the coordinates of the point P in the xy-plane that divides the
segment whose endpoints are A(−2, 9) and B(7, 3) into two segments
such that the ratio of AP to PB is 1 to 2?

Five people contributed €9,000 each toward the
purchase of a sailboat. If they ended up paying
€38,500 plus 8% sales tax for the boat, how much
money should be refunded to each person?

The ratio of A to B is a : 8, and the ratio of B to C is 12 : c. If the ratio
of A to C is 2 : 1, what is the ratio of a to c?

If 4 pairs of socks costs €10.00, how many pairs of socks can be
purchased for €22.50?

In a certain mathematics class, the part of the class that are members of
the math club is 50% of the rest of that class. The total number of math
club members in this class is what percent of the entire class?

In a factory that manufactures light bulbs, 0.04% of all light bulbs
manufactured are defective. On the average, there will be three
defective light bulbs out of how many manufactured?

If (c-3d)/4 = d/2 what is the ratio of c to d?

For integer values of a and b,\( b^{a}\) = 8. The ratio of a to b is equivalent
to the ratio of c to d, where c and d are integers. What is the value of c
when d = 10?  
Write answer in number only %BLANK%

If x represents a number picked at random from the set {−3, −2, −1, 0,
1, 2}, what is the probability that x will satisfy the inequality 4 − 3x < 6?

In an opinion poll of 50 men and 40 women, 70% of the men and 25%
of the women said that they preferred fiction to nonfiction books. What
percent of the number of people polled preferred to read fiction?

The number of kilograms of corn needed to feed 5,000 chickens is 30
less than twice the number of kilograms needed to feed 2,800 chickens.
How many kilograms of corn are needed to feed 2,800 chickens?

A store used to sell an MP3 for €72, which is 50% more than the wholesale cost. At a special holiday sale, the price of the MP3 was 20% less than the wholesale cost. What was the special sale price of the MP3?

After 2 months on a diet, John’s weight dropped from 168 pounds to
147 pounds. By what percent did John’s weight drop?

The price of a package of 4 pens is €8.00. The
same pens are sold at €2.50 each. If Alex bought
three packages of pens rather than buying 12 pens
individually, the amount he saved on 12 pens is
what percent of the amount he paid?

A car moving at a constant rate travels 96 miles in 2 hours. If the car
maintains this rate, how many miles will the car travel in 5 hours?

A tablet with a list price of x dollars is discounted
by 15% and then discounted an additional 12%.
What is the final sale price of the tablet, in terms
of x ?

The population of a bacteria culture doubles in number every 12
minutes. The ratio of the number of bacteria at the end of 1 hour to the
number of bacteria at the beginning of that hour is

Jack’s weight first increased by 20% and then his new weight
decreased by 25%. His final weight is what percent of his beginning
weight?