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Example 8.76 from Elementary Algebra, 8.7 Solve Proportion and Similar Figure Applications
Solve Proportion and Similar Figure Applications: example 8.76
A 16-ounce iced caramel macchiato has 230 calories. How many calories are there in a 24-ounce iced caramel macchiato?
Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.
Solution
Identify what we are asked to find, and choose a variable to represent it. How many calories are in a 24 ounce iced caramel macchiato? Let in 24 ounces. Write a sentence that gives the information to find it. If there are 230 calories in 16 ounces, then how many calories are in 24 ounces? Translate into a proportion–be careful of the units. Multiply both sides by the LCD, 48. Remove common factors on each side. Simplify. Solve for . Check. Is the answer reasonable? Yes, 345 calories for 24 ounces is more than 290 calories for 16 ounces, but not too much more. Write a complete sentence. There are 345 calories in a 24-ounce iced caramel macchiato.
Your turn
The book's Try It right after this example: same idea, new numbers. Only the answer is given.
At a fast-food restaurant, a 22-ounce chocolate shake has 850 calories. How many calories are in their 12-ounce chocolate shake? Round your answer to nearest whole number.
How did it go?