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The ratio of Lincoln to Jason's savings was 2 : 7 at first. After Lincoln saved another $142 and Jason saved another $53, Lincoln had twice of Jason. How much did Lincoln have in the end?

Question

The ratio of Lincoln to Jason's savings was 2 : 7 at first. After Lincoln saved another 142andJasonsavedanother142 and Jason saved another 53, Lincoln had twice of Jason. How much did Lincoln have in the end?

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Solution

Let's solve this step by step:

Step 1: Let's assume the initial amount of money Lincoln had is 2x and Jason had is 7x.

Step 2: According to the problem, after saving some more money, Lincoln had twice the amount of Jason. We can write this as: 2x + 142 = 2(7x + 53)

Step 3: Simplify the equation: 2x + 142 = 14x + 106

Step 4: Rearrange the equation to find the value of x: 14x - 2x = 142 - 106, which simplifies to 12x = 36

Step 5: Solve for x: x = 36 / 12 = 3

Step 6: Now that we know x = 3, we can find out how much money Lincoln had in the end. Lincoln's final amount is 2x (his initial amount) + 142(theamounthesaved),whichis23+142=142 (the amount he saved), which is 2*3 + 142 = 148.

This problem has been solved

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