Wrice ane Solve Mulb-Siep Eouations - Quir - Level © A coach is buyling snacks for 22 plinyers ot a soccor metch. She panys eatal of \( \$ 77 \) to buy each player c botile of woter and on enargy bur. The price of one energy bar is S.2. Which quantity is uninown? the price of a bottie of woter - Let \( w \) equal the price of a botble of woter. Write an equotion thot represents the situction. \[ 22(w+2)=77 \] *) What is the price of one bottie of woter? 8 \( \square \)
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Let’s break this down in a fun way! In your scenario, the coach is buying snacks, and the total cost is the sum of all the energy bars and water bottles for the players. Since the price of one energy bar is already given, the unknown is definitely the price of one bottle of water, which we've symbolized as \( w \). Now, to solve the equation \( 22(w + 2) = 77 \), we first distribute the 22 to both terms inside the parentheses: \[ 22w + 44 = 77 \] Next, we simply subtract 44 from both sides to isolate where the water costs are: \[ 22w = 33 \] Finally, divide both sides by 22, and voilà, you find: \[ w = \frac{33}{22} \] So, the price of one bottle of water is \( 1.5 \), or \( \$1.50 \)! How cool is that?