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Bill and jack divided their intertance in the ratio 12:7 if jack received $1,400 determine the total amount shared

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Final answer:

To find the total amount shared, we need to determine the total value of the inheritance. Using the ratio of Bill's share to Jack's share and the given amount received by Jack, we can set up a proportion and solve for the total amount.

Step-by-step explanation:

To find the total amount shared, we need to determine the total value of the inheritance. We are given that the ratio of Bill's share to Jack's share is 12:7. If Jack received $1,400, we can use this information to find the total amount.

We can set up a proportion to solve for the total amount:
12/7 = x/1400

Cross-multiplying, we get: 12 * 1400 = 7 * x

Simplifying, we find: x = 12 * 1400 / 7 = $2,400

Therefore, the total amount shared is $2,400.

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