Question

group name

1. mathematics: the ancient romans loved this challenging test, although it is really simple if you think about it!

\julius caesar, the most famous of ancient romans, decided to buy new clothing for his slaves. if he ordered 40 extra - large togas and 50 large togas, how many medium - sized togas did he order?\

1. complete each famous english idiom that comes from the experience of the romans!

\all roads ______________\
\when in rome, ______________\

ome wasnt built ______________\

1. the roman emperor has a continuing problem with his slaves. when they are housed in a cell with an even number of slaves in it, they fight. when there are an odd number of slaves in a cell they always get along. the emperor has 21 slaves in all, and for some reason (he is the emperor after all and must be obeyed!) he wants them in a total of four cells. can you help him and keep an odd number in each of the four cells?

Explanation:

Step1: Analyze the toga - ordering problem

There is no information given in the problem to determine the number of medium - sized togas. So the answer for the number of medium - sized togas is indeterminate.

Step2: Complete the idioms

"All roads lead to Rome." "When in Rome, do as the Romans do." "Rome wasn't built in a day."

Step3: Analyze the slave - housing problem

The sum of four odd numbers is always an even number. Since \(21\) is an odd number, it is not possible to put \(21\) slaves into four cells with an odd number of slaves in each cell.

Answer:

1. Indeterminate
2. All roads lead to Rome. When in Rome, do as the Romans do. Rome wasn't built in a day.
3. No