Question

1. six of the players on the team weigh over 300 pounds. doctors recommend that players of this weight drink at least $3\frac{3}{4}$ quarts of water each day. at least how much water should be consumed per day by all 6 players?

of the players on the team weigh about 200 pounds. doctors recommend that people of

Explanation:

Step1: Convert mixed number to improper fraction

The amount of water per player is \( 3\frac{3}{4} \) quarts. To convert this mixed number to an improper fraction, we use the formula \( a\frac{b}{c}=\frac{a\times c + b}{c} \). So, \( 3\frac{3}{4}=\frac{3\times4 + 3}{4}=\frac{15}{4} \) quarts.

Step2: Calculate total water for 6 players

We need to find the total water for 6 players, so we multiply the amount per player by the number of players. That is \( 6\times\frac{15}{4} \). Simplifying this, we can write 6 as \( \frac{6}{1} \), so \( \frac{6}{1}\times\frac{15}{4}=\frac{90}{4} \). Then, simplifying the fraction \( \frac{90}{4} \) gives \( \frac{45}{2}=22\frac{1}{2} \) quarts.

Answer:

\( 22\frac{1}{2} \) quarts