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A patient with high blood pressure who weighs 226 pounds is put on a diet to lose 26 pounds in 3 months. The patient loses 8 3 4 pounds the first month and 11 5 8 pounds the second month. How much weight must be lost the third month for the goal to be achieved?

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Given :

A patient with high blood pressure who weighs 226 pounds is put on a diet to lose 26 pounds in 3 months. The patient loses 8 3/4 pounds the first month and 11 5/8 pounds the second month.

To Find :

How much weight must be lost the third month for the goal to be achieved.

Solution :

Let, weight lose in third month is x.

So, 8 3/4 + 11 5/8 + x = 26


(32+3)/(4)+(88+5)/(8)+x=26\\\\x = 26 - ( (35)/(4)+(93)/(8))\\\\x=5.625\ pounds

Therefore, weight lose in third month is 5.625 pounds.

Hence, this is the required solution.

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