Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 2: Q23. (page 145)

Deon has 12 milliliters of a 5%solution. He also has a solution that has a concentration of 30%How many milliliters of the 30%solution does Deon need to add to the 30%solution to obtain a 20%solution?

Short Answer

Expert verified

We need to add 18 milliliters of 30% solution to 12 milliliters of 5% to make the resulting solution 20%.

Step by step solution

Step 1. Data.

Given Deon has 12 milliliters of a 5% solution. He also has a solution that has a concentration of 30%

Step 2. Analyse the data.

Let the millilitres of 30% solution added be $x$ .

So, the total concentration when we add 12 milliliters of a 5% solution and $x$ milliliters of a 30% solution is given by

$12 鈰� \frac{5}{100} + x 鈰� \frac{30}{100} = \frac{60 + 30 x}{100}$

Step 3. Solution.

We need to make 20% concentration of resulting solution.

So, the equation is given by:

$\begin{array}{l} \frac{60 + 30 x}{100} = (12 + x) \frac{20}{100} \\ 鈬� 60 + 30 x = (12 + x) 20 \\ 鈬� 60 + 30 x = 240 + 20 x \\ 鈬� 30 x 鈭� 20 x = 240 鈭� 60 \\ 鈬� 10 x = 180 \\ 鈬� x = 18 \end{array}$

Therefore, we need to add 18 milliliters of 30% solution to 12 milliliters of 5% to make the resulting solution 20%.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Deon has 12 milliliters of a 5%solution. He also has a solution that has a concentration of 30%How many milliliters of the 30%solution does Deon need to add to the 30%solution to obtain a 20%solution?

Short Answer

Step by step solution

Step 1. Data.

Step 2. Analyse the data.

Step 3. Solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Pure Maths

Theoretical and Mathematical Physics

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.