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The ratio of Ben to Bryan's savings was 2 : 3 at first. After Ben saved another $194 and Bryan saved another $71, Ben had twice of Bryan. How much did Ben have in the end?

Question

The ratio of Ben to Bryan's savings was 2 : 3 at first. After Ben saved another 194andBryansavedanother194 and Bryan saved another 71, Ben had twice of Bryan. How much did Ben have in the end?

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Solution

Let's solve this step by step:

Step 1: Let's assume the initial savings of Ben and Bryan as 2x and 3x respectively.

Step 2: According to the problem, after saving additional amounts, Ben's savings are twice Bryan's. We can write this as:

2x + 194 = 2(3x + 71)

Step 3: Simplify the equation:

2x + 194 = 6x + 142

Step 4: Rearrange the equation to find the value of x:

4x = 52

x = 52/4

x = 13

Step 5: Now, we can find out how much Ben had in the end by substitifying x = 13 into 2x + 194:

Ben's final savings = 2x + 194 = 2*13 + 194 = $220.

This problem has been solved

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