SAT Math Problems

<p>A certain salad contains croutons, nuts, and raisins. The ratio of croutons to nuts is 3 to 4, and the ratio of raisins to nuts is 3 to 5. What is the ratio of croutons to raisins?
A. 5 to 4
B. 4 to 5
C. 2 to 3
D. 9 to 20
E. 3 to 10</p>

<p>Multiply C:N ratio by 5, and R:N ratio by 4, this yields an answer of 15:12 C:R. Simplify that and you get 5:4,
so the answer is A.</p>

<p>The SAT is a reasoning test. Many problems can be solved through straight math. Oviously there are many ways to solve by multiplying the numbers and reducing them to 5/4. </p>

<p>But why not look at 3/4 and 3/5 … and ask yourself which is larger? And if that is not apparent, which is larger 75% or 60%? Obviously, 75 percent is. </p>

<p>What did the test writer give us? There is only one answer that is greater than 1. BCDE are all <1, </p>

<p>Lesson here … never lose track of the answers! </p>

<p>I’ll throw in another approach. I wanted the “nuts” number to be the same in both ratios. So change 3:4 to 30:40 and change 3:5 to 24:40. Then, croutons to raisins is 30:24 or 5:4.</p>

<p>Thank you everybody!</p>

<p>PCK, me thinks that happens to be the same as … in post 1, except that with 5 and, there is no need to go beyond 20! LCD! /insert smiley</p>

<p>Ah, this is what I love about some SAT questions! So many different approaches. What I did to find the answer was this:
3C/4N x 3R/5N . Then I cross multiplied, coming to --> 12NR/15CN . One “N” cancels out the other leaving 12R/15C . Since they want the opposite of that, just swith both numbers and simplify! 5C/4R .</p>

<p>3C/4N x 3R/5N ? </p>