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

If a − 3b = 9b − 7a, then the ratio of a to b is

$$\frac{x}{z} = \frac{1}{3}$$
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?

On a certain map, 3/8 of an inch represents 120 miles. How many miles
does \(1\frac{3}{4}\) inches represent?

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?

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?

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?

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%

By the end of the school year, Terry had passed 80% of his science
tests. If Terry failed 4 science tests, how many science tests did Terry
pass?

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?

At a college basketball game, the ratio of the number of freshmen who
attended to the number of juniors who attended is 3 : 4. The ratio of the
number of juniors who attended to the number of seniors who attended
is 7 : 6. What is the ratio of the number of freshmen to the number of
seniors who attended the basketball game?

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?

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 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?

There is a total of n pairs of shoes in a store,
all of which are either black or brown. If there
are m pairs of brown shoes in the store, then
in terms of m and n , what percent of the shoes
in the store are black?

A soccer team has played 25 games and has won 60% of the games it
has played. What is the minimum number of additional games the team
must win in order to finish the season winning 80% of the games it has
played?

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?

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

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?

The price of a stock falls 25%. By what percent of the new price must
the stock price rise in order to reach its original value?

It took 12 men 5 hours to build an airstrip. Working at the same rate,
how many additional men could have been hired in order for the job to
have taken 1 hour less?

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

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

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

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