Your dog weighed 42 and eight ninths pounds. The dog gained 3 and one half. You put him on a diet and he lost 6 and seven sixteenths pounds. About how much does your dog weigh now? Use rounding to estimate. A. About 40 and one half pounds. B. About 33 pounds C. About 41 pounds D. About 53 pounds

The answer is option (A), about 40 and one half pounds

Step-by-step explanation:

Step 1: Determine the initial weight of the dog

Initial weight of dog=42 8/9 pounds

Step 2: Calculate weight after gain

Weight after gain=Initial weight+additional weight gain

where;

Initial weight=42 8/9 pounds

Additional weight gain=3 1/2 pounds

replacing;

Weight after gain = (3 1/2) + (42 8/9) = 7/2+386/9=46 7/18

Weight after gain=46 7/18 pounds

Step 3: Calculate weight after you put him on a diet

Weight after diet=Weight after gain-weight lost after diet

where;

Weight after gain=46 7/18 pounds

Weight lost after diet=6 7/16 pounds

replacing;

Weight after diet = (46 7/18) - (6 7/16) = (835/18) - (103/16) = 39 137/144 pounds

Weight after diet = About 40 and one half pounds