Answer:
Step-by-step explanation:
Draw a vector triangle. When you draw the horizontal and vertical components, you end up with a right triangle. The magnitude of the vector is equal to the hypotenuse of the triangle so you can use the Pythagorean theorem to calculate it. Rearrange the Pythagorean theorem to calculate the magnitude
Let a and c be adults and children, respectively. Then:
a+c=500
5a+2c=1540
Solve for a and c
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we have
------> inequality A
The solution of the inequality A is the shaded area below the solid red line
see the attached figure N
------> inequality B
The solution of the inequality B is the shaded area above the dotted blue line
see the attached figure N
therefore
The solution of the system of inequalities is the shaded area between the solid red line and the dotted blue line
see the attached figure N
therefore
the answer in the attached figure N
