Answer:
8 up, 6 left
Step-by-step explanation:
Locate any point from triangle A and go up 8 steps to get on the same level as triangle A'. Then, move to the left 6 steps.
The matrix equation that can be solved to find all the respective costs is;
![\left[\begin{array}{ccc}2&3&50\\4&6&100\\2&5&80\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}51\\90\\78\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%263%2650%5C%5C4%266%26100%5C%5C2%265%2680%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D51%5C%5C90%5C%5C78%5Cend%7Barray%7D%5Cright%5D)
<h3>How to create matrix equations?</h3>
Let cost of admission for children be x.
Let cost of admission for adults be y.
Let cost of admission for carnival tickets be z.
Thus, we have the simultaneous equation as;
2x + 3y + 50z = 51
4x + 6y + 100z = 90
2x + 5y + 80z = 78
Thus, writing this in matrix form gives;
![\left[\begin{array}{ccc}2&3&50\\4&6&100\\2&5&80\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}51\\90\\78\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%263%2650%5C%5C4%266%26100%5C%5C2%265%2680%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D51%5C%5C90%5C%5C78%5Cend%7Barray%7D%5Cright%5D)
Read more about Matrix Equations at; brainly.com/question/11989522
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As a fraction it would be 175/100, as a mixed number it would be 1 75/100, simplified it would be 1 3/4
The computation of the equation illustrates that the number will be 46.4.
<h3>How to solve the equation?</h3>
Let the number be represented as x.
Therefore, the the difference of 3 / 4 and 1 / 6 of a number is 7 will be computed as follows:
(1/6 × x) - 3/4 = 7
0.167x = 7 + 3/4
0.167x = 7.75
x = 7.75/0.167
x = 46.4
Therefore, the number is 46.4.
Learn more about equations on:
brainly.com/question/2972832