A candy bowl contains $723$ candies. Some of the candies are red, and the rest are green. There are twice as many green candies as red candies. How many red candies are in the candy bowl? Solve this problem in two ways: with the aid of a diagram and with algebraic equations. Explain both solution methods, and discuss how they are related.

At Freeport Middle School, $25$ of every $100$ students participate in sports. Which of the following ratios describes this rate of participation?
A. $\frac{4} {25}$ of the students participate in sports.
B.

$$\frac{1} {4}$$

of the students participate in sports
C. $\frac{1} {5}$ of the students participate in sports
D. $\frac{25} {75}$ of the students participate in sports

A ruler was laid on a map with town A at the $3^{\prime\prime}$ mark and town B at the $6^{\prime\prime}$ mark. The map has a scale of $1\mathrm{~inch} = 5\mathrm{~miles}$.
What is the actual distance between towns A and B?
A. $3$ miles
B. $5$ miles
C. $10$ miles
D. $15$ miles

On a trip of $320$ miles, Sunao's truck averaged $9.2$ miles per gallon. At the same rate, how much gasoline would his truck use on a trip of $440$ miles?

Cindy bought pencils and erasers in a store. The number of pencils was $6$ less than $4$ times the number of erasers. Cindy bought $3$ erasers. Write an equation for how many pencils Cindy bought and solve.

Only 1/11 of the 110 elements known to modern scientists were discovered in ancient times. a. How many elements were discovered in ancient times? b. How many elements were not discovered in ancient times?

When the score was announced, 420 students were elated and the rest were dejected. If the ratio of elated to dejected was 2 to 9, how many students were there in all?

Write these numbers in Mayan notation:

(a) $12$
(b) $584$
(c) $12,473$

If $12$ erasers cost $\$8.04$ and Mrs. Orton bought $\$14.07$ worth of erasers, how many erasers did she buy?

If it takes $1\frac {1} {3}$ cups of sugar to make a batch of cookies, how much sugar would be required to make four batches?

If a $12^{\prime\prime}$ pepperoni pizza from Ricco’s costs $\$9.56$, what should a $14^{\prime\prime}$ pizza from Ricco’s cost?

Find the unit rate to the nearest cent per ounce. Compare.

a. A 24-ounce box of cornflakes costs $\$ 4.59$.

b. A 36-ounce box of cornflakes costs $\$ 5.79$.

c. Which is the better buy?

Arrange these numbers in order from least to greatest:

$$\frac{4} {12}, 0.33, 0.3334, \frac{5} {13},\frac{2} {66}$$

The flagpole at Sunnyside Elementary School casts a shadow $9^\prime8^{\prime\prime}$ long at the same time that Mr. Schaal’s shadow is $3^\prime2^{\prime\prime}$ long. If Mr. Schaal is $6^\prime3^{\prime\prime}$ tall, how tall is the flagpole, to the nearest foot?