Susan had $120 and Patrick had twice as much money as her at first. Susan received some money and Patrick spent some money. The amount Susan received was 3 times as much as the amount Patrick spent. They had the same amount of money in the end. How much did Susan receive ?

At first Patrick had twice of Susan.

Hence,

He have 2 × 120 = $240

Let the money received be x

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step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

d

step-by-step explanation: