SOLUTION: The number of calories in taco bells express salad exceeds the number of calories in buger kings chicken caesar salad by 125. The number of calories in Wendy's mandarin chicken sal

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Question 647984: The number of calories in taco bells express salad exceeds the number of calories in buger kings chicken caesar salad by 125. The number of calories in Wendy's mandarin chicken salad exceeds the number of calories in the chicken Caesar salad by 95. Combined, the three salads contain 1750 calories. Determine the number of calories in each salad
Answer by Algebraic(50) About Me  (Show Source):
You can put this solution on YOUR website!
Let's begin by breaking up what is given to us in the word problem.
Number of calories in Burger King's Chicken Caesar Salad: x <-- because it's the unknown
Number of calories in Taco Bell's Express Salad: x+%2B+125 <-- because it has 125 more calories than the Burger King Chicken Caesar Salad
Number of calories in Wendy's Mandarin Chicken Salad: x+%2B+95 <-- because it has 95 more calories than the Burger King Chicken Caesar Salad
Total of all the salad calories put together: 1750 <-- We know that the sum of all the numbers will have to equal this
Step 1: Add all of the factors together, and set the sum equal to 1750
x+%2B+x+%2B+125+%2B+x+%2B+95+=+1750
Step 2: Combine like terms
x+%2B+x+%2B+125+%2B+x+%2B+95+=+1750
3x+%2B+220+=+1750
Step 3: Subtract '220' on both sides to get '3x' by itself
3x+%2B+220+=+1750
3x+=+1530
Step 4: Divide both sides by '3' to get 'x' by itself
3x+=+1530
x+=+510
We know now that the number of calories in the Burger King Chicken Caesar Salad is x+=+510
To find the amount of calories in the other two salads, simply just add 510 to the other two equations we came up with at the beginning of the problem.
Step 1: Number of calories in Taco Bell's Express Salad: x+%2B+125
Take 510 and add it to 125 to find the number of calories.
x+%2B+125
510+%2B+125
635
The number of calories in Taco Bell's Express Salad is 635
Step 2: Number of calories in Wendy's Mandarin Chicken Salad: x+%2B+95
Take 510 and add it to 95 to find the number of calories.
x+%2B+95
510+%2B+95
605
The number of calories in Wendy's Mandarin Chicken Salad is 605
So... here are your answers:
The number of calories in Burger King's Chicken Caesar Salad is 510
The number of calories in Taco Bell's Express Salad is 635
The number of calories in Wendy's Mandarin Chicken Salad is 605