Question of the Day

Can you answer today's question?

Register Next Tests:
1/24 , 3/14
Question of the Day Statistics
Number Answered
Correct 78,151
Incorrect 151,886
230,037 responses
33% correct
See Last Thirty Questions:

Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer. 

To make an orange dye, 3 parts of red dye are mixed with 2 parts of yellow dye. To make a green dye, 2 parts of blue dye are mixed with 1 part of yellow dye. If equal amounts of green and orange are mixed, what fraction of the new mixture is yellow dye?

Answer Choices



Suppose that x quarts of the final mixture of dye will be made. Since it is to be made from equal amounts of orange and green dye, it will consist of (1 over 2) times x quarts of orange dye and (1 over 2) times x quarts of green dye. Since the orange dye has 2 parts yellow dye for each 5 parts total dye, 2 over 5 of it is yellow dye. Similarly, 1 over 3 of the green dye is yellow dye. The amount of yellow in the final mixture is given by

((2 over 5) times (1 over 2) times x) + ((1 over 3) times (1 over 2) times x) = ((1 over 5) times x ) + ((1 over 6) times x)

= (11 over 30) times x quarts

So 11 over 30 of the final mixture is yellow dye.

Note: Although “quarts” were used to express the amount of the final mixture, it could have been pints or any other unit of liquid measure.

Log in, track your progress and review questions.
Want to brush up on your skills? Just visit our Practice Questions area.

Buy Together, Get $10 Off

Buy Together & Get $10 Off
Study Guide
Online Course

The online course includes explanations and auto essay scoring for the Study Guide's 10 practice tests.

The Official Study Guide for All SAT Subject Tests™: 
Second Edition

Subject Test Study Guide

Get ready for test day with a brand new edition of our best-selling SAT Subject Test Study Guide! Brought to you by the test-maker, this is the ONLY study guide with actual, previously administered tests for all 20 SAT Subjects Tests™ to provide you with the real test-taking experience.

See Inside