This will execute the step and take you to the next step.
What does the problem ask for?
The value of 30 + 78.
The number of Yodos, Modos and Hodos.
The value of 30 * 78.
None of the above.
The starting equation is then
Yodos + Modos + Hodos = 78
Yodos + Modos + Hodos = Total_players
Yodos + 8 + Hodos = 30
This equation first asks for information about Yodos.
In response to this request we see
that the problem states that ...
there are half as many Modos as Hodos.
there are half as many Hodos as Yodos.
there are 78 players in all.
there are 30 Hodos.
In equation form, a suitable response is then...
Yodos = 32
Total_players = 78
Yodos = 2 Hodos
Modos = 30
The last equation written asks about Hodos.
There is no additioal information about Hodos.
We continue left-to-right in the superior equation.
The next information asked for is about...
Yodos.
Total_players.
Modos.
none of these.
In equation form, the response to
the verbal statement is ...
Hodos = 16
Modos = 30
Total_players = 78
Yodos = 32
The next quantity in the superior equation, Hodos, is unknown.
The superior equation then asks for information about...
Hodos.
Modos.
Total_players.
Yodos.
In response to this request we see
that the problem states that ..
Hodos = 16.
Total_players = 78.
Modos = 30.
Yodos = 32.
The superior equation makes no more requests.
The problem is solved.
The appropriate operation now is to ...
add.
substitute.
subtract.
The result of substituting the indented information
in the superior equation is ...
2 Hodos + 30 + Hodos = 78.
Hodos = 32.
2 Hodos - 30 + Hodos = 78.
The last equation written requests that we ...
transpose everything.
guess the answer.
combine the Hodos terms.
skip the rest of the steps.
The result of collecting terms is...
2 Hodos + 30 = 78
3 Hodos + 30 = 78
Modos = 32
3 Hodos - 30 = 78
Proceeding step-by-step the next thing to do is ...
subtract 78 from both sides.
subtract 30 from both sides .
divide both sides by 3.
add 30 to both sides.
The result of this step is ...
3 Hodos = 84.
3 Hodos = 38.
3 Hodos =78 - 30.
Hodos = 32.
Continuing to solve for Hodos we...
divide both sides by 3.
combine the quantities on the right.
realize that Yodos = 12.
The result is...
Hodos = 60 - 12 .
Hodos = 20 .
The natural thing to do now is..
simplify the numerator.
find a pocket calculator.
divide 3 into 30.
The value of 78 - 30 is ...
48.
84.
32.
Completing the arithmetic the resulting
value of Hodos is ...
48.
16.
32.
Please comment. Comments are appreciated and
contribute very much to developing these pages.
The problem solution was developed by
Howard C. McAllister
using
SureMath
.
