To find the number of grams of fat in each salad, we can set up the equations properly and solve for \( x \), where \( x \) represents the number of grams of fat in restaurant B's chicken salad.
According to the problem, restaurant A's chicken salad contains 22 more grams of fat than restaurant B's chicken salad. This can be expressed as:
- Let \( x \) be the grams of fat in restaurant B's chicken salad.
- Then, the grams of fat in restaurant A's chicken salad will be \( x + 22 \).
The problem states that the total amount of fat in both salads is 4444 grams. Therefore, we can set up the following equation:
\[ x + (x + 22) = 4444 \]
Now, we'll simplify and solve for \( x \):
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Combine like terms: \[ x + x + 22 = 4444 \] \[ 2x + 22 = 4444 \]
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Subtract 22 from both sides: \[ 2x = 4444 - 22 \] \[ 2x = 4422 \]
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Divide by 2: \[ x = \frac{4422}{2} \] \[ x = 2211 \]
So, the grams of fat in restaurant B's chicken salad is \( 2211 \) grams.
Now, to find the grams of fat in restaurant A's chicken salad: \[ x + 22 = 2211 + 22 = 2233 \]
Therefore, the number of grams of fat in each salad is:
- Restaurant B's chicken salad: 2211 grams
- Restaurant A's chicken salad: 2233 grams