Question

Dogs need $8.5$ to $17$ ounces of water each day for every $10$ pounds of their weight. Anant has two dogs-Brian is a $35$-pound black lab mix, and Rean is a $55$-pound beagle. Which of the following ranges represents the approximate total number of ounces of water, $w$, that Brian and Rean need in a week?

• A. $77\le w\le 153$
• B. $109\le w\le 218$
• C. $536\le w\le 1,071$
• D. $765\le w\le 1,530$

Answer 1

Answer: (C)

$536\le w\le 1,071$

Taking the two dogs together, Everett has $35+55=90$ pounds of dog. Set up the following proportion to determine the lowest amount of water the dogs need per day:$\frac{8.5ounces}{10lbs}=\frac{x}{90lbs}$

$\Rightarrow 10x=765$

$\Rightarrow x=76.5$.

Then multiply by $7$ days to get the weekly amount of water the dogs need: $76.5\times 7=535.5$ ounces, or approximately $536$ ounces.

And highest amount of water per day $:$ $\frac{17ounces}{10lbs}=\frac{x}{90lbs}$

$\Rightarrow 10x=1530\Rightarrow x=153$.

Then multiply by $7$ days to get the highest weekly amount of water the dogs need: $153\times 7=1071$ ounces, .

Then Only (C) includes $536$ as the low-end amount.and $1071$ as highest end

Therefore, the correct answer is (C) $536\le w\ge 1071$