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 ?

Given :-Susan had $120Patrick had twice money at firstSusan recived and Patrick spent some moneyThe amount Susan received was 3 times as much as the amount Patrick spentAt last they have same amountTo Find :-Money Susan recivedSolution :-

At first Patrick had twice of Susan.

Hence,

He have 2 × 120 = $240

Let the money received be x

x + 120 = 3(240 - x)x + 120 = 720 - 3x3x + x = 720 - 1204x = 720 - 1204x = 600x = 600/4x = 150