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A proportion is a set of 2 fractions that equal each other. This article focuses on how to use proportions to solve cooking problems, especially when the numbers are not friendly. But first, let's start with an easy problem.
Let's say you are cooking rice to serve exactly 3 people. The recipe calls for 2 cups of water and 1 cup of dry rice. However, you found out that there are 12 guests coming. How would the recipe change? If you’ve ever made rice, you know that this ratio — 1 part dry rice and 2 parts water — is important. Mess it up, and your rice will become soggy or something else. Because you are quadrupling your guest list (3 people * 4 = 12 people), you must quadruple your recipe. Cook 8 cups of water and 4 cups of dry rice. This demonstrates how you can use ration to solve proportion problems in real life. What happens when the numbers are not so friendly? Let's say you are throwing a party for 25 people. How much water do you need?
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Questions:
A Hillview Prep student is currently preparing for her SAT Subject Test in Physics. We started her on a test using the Smart Scoring System. What we found is quite interesting: on easy questions, she was guessing and thus making simple errors. The question on the test is below:
Relate to the following physical principles or topics. (A) pressure (B) energy (C) work (D) force (E) centripetal acceleration Select the quantity that each expression defines.
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Problem: (SAT Subject Test Math Level 2)Three cards are drawn from an ordinary deck of 52 cards. Each card is replaced in the deck before the next card is drawn. What is the probability that at least one of the cards will be a spade?
(A) 3/52 (B) 9/64 (C) 3/8 (D) 37/64 (E) 3/4
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Problem:If a square prism is inscribed in a right circular cylinder of radius 3 and height 6, the volume inside the cylinder but outside the prism is:
(A) 2.14 (B) 3.14 (C) 61.6 (D) 115.6 (E) 169.6 