-Ready Write and Solve Muli- Step Iquations - Quiz - Level G A coach is buying snacks for 22 players at a soccer match, She pays a total of $$ \$ 77 $$ to buy each player a bottle of water and an energy bar, The price of one energy ber is 12 . Which quantity is unknown? the price of a bottle of water Let $$ w $$ equal the price of a bottle of water. Write an equation that represents the situation. $$ 22(w+2)=77 $$ What is the price of one bottle of water? $$ \$ $$ $$ \square $$ 7 8 9

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UpStudy AI · Accepted Answer

Let's solve the equation step by step to find the price of one bottle of water.

### Step 1: Write the equation
The equation given is:
$$
22(w + 12) = 77
$$

### Step 2: Distribute the 22
We need to distribute the 22 on the left side of the equation:
$$
22w + 22 \cdot 12 = 77
$$
Calculating $$ 22 \cdot 12 $$:
$$
22w + 264 = 77
$$

### Step 3: Isolate the variable term
Next, we will isolate the term with $$ w $$ by subtracting 264 from both sides:
$$
22w = 77 - 264
$$
Calculating $$ 77 - 264 $$:
$$
22w = -187
$$

### Step 4: Solve for $$ w $$
Now, we divide both sides by 22 to solve for $$ w $$:
$$
w = \frac{-187}{22}
$$

### Step 5: Calculate the value of $$ w $$
Now, let's calculate $$ w $$:
$$
w \approx -8.5
$$

### Conclusion
The price of one bottle of water is approximately $$ -8.5 $$. However, since prices cannot be negative, it seems there was a misunderstanding in the problem setup.

Let's check the original equation again. The energy bar's price was stated as 12, but it should be 2 based on the equation provided.

### Correcting the equation
The correct equation should be:
$$
22(w + 12) = 77
$$

Now, let's solve it again with the correct price of the energy bar.

### Step 1: Write the corrected equation
$$
22(w + 12) = 77
$$

### Step 2: Distribute the 22
$$
22w + 264 = 77
$$

### Step 3: Isolate the variable term
$$
22w = 77 - 264
$$
Calculating $$ 77 - 264 $$:
$$
22w = -187
$$

### Step 4: Solve for $$ w $$
$$
w = \frac{-187}{22}
$$

### Step 5: Calculate the value of $$ w $$
Calculating $$ w $$:
$$
w \approx -8.5
$$

### Conclusion
The price of one bottle of water is approximately $$ -8.5 $$. However, since prices cannot be negative, it seems there was a misunderstanding in the problem setup.

Let's check the original equation again. The energy bar's price was stated as 12, but it should be 2 based on the equation provided.

### Correcting the equation
The correct equation should be:
$$
22(w + 2) = 77
$$

Now, let's solve it again with the correct price of the energy bar.

### Step 1: Write the corrected equation
$$
22(w + 2) = 77
$$

### Step 2: Distribute the 22
$$
22w + 44 = 77
$$

### Step 3: Isolate the variable term
$$
22w = 77 - 44
$$
Calculating $$ 77 - 44 $$:
$$
22w = 33
$$

### Step 4: Solve for $$ w $$
$$
w = \frac{33}{22}
$$

### Step 5: Calculate the value of $$ w $$
Calculating $$ w $$:
$$
w = 1.5
$$

### Conclusion
The price of one bottle of water is $$ \$ 1.5 $$.

However, since the options provided were 7, 8, and 9, it seems there might be a mistake in the problem setup or the options given. Please verify the problem statement and the options.
The price of one bottle of water is \$1.5.

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