1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
larisa86 [58]
3 years ago
10

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is

60% salt and Solution B is 75%
salt. She wants to obtain 60 ounces of a mixture that is 65% salt. How many ounces of each solution should she use?
Mathematics
1 answer:
vampirchik [111]3 years ago
3 0

we know that A has 60% of salt, so if way we had "x" amount of ounces of A solution the amount in it will be 60% of "x", or namely (60/100)*x = 0.6x.

Likewise for solution B if we had "y" ounces of it, the amount of salt in it will be (75/100) * y or 0.75y, thus

\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{oz of }}{amount}\\ \cline{2-4}&\\ A&x&0.60&0.6x\\ B&y&0.75&0.75y\\ \cline{2-4}&\\ mixture&60&0.65&39 \end{array}~\hfill \begin{cases} x+y=60\\ 0.6x+0.75y=39 \end{cases} \\\\\\ \stackrel{\textit{since we know that}}{x+y=60}\implies y = 60 - x~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.6x+0.75(60-x)=39}

0.6x+45-0.75x=39\implies -0.15x+45=39\implies -0.15x=-6 \\\\\\ x = \cfrac{-6}{-0.15}\implies \boxed{x = 40} \\\\\\ \stackrel{\textit{we know that}}{y = 60 - x}\implies y = 60-40\implies \boxed{y = 20}

You might be interested in
The area of the trapezium is 63cm and the top is 6cm and the bottom is 12cm what’s the height
steposvetlana [31]

Answer:

height = 7 cm

Step-by-step explanation:

The area (A) of a trapezium is calculated using the formula

A = \frac{1}{2} h(a + b)

where h is the height and a, b the parallel bases

here a = 6, b = 12 and A = 63, hence

\frac{1}{2} × h × (6 + 12) = 63

\frac{1}{2} h × 18 = 63

9h = 63 ( divide both sides by 9 )

h = 7

7 0
3 years ago
.Mariam went to the store to buy some apples. The price per pound of the apples is $6 per pound and she has a coupon for $2.25 o
8_murik_8 [283]

Answer:

$15.75

$6p-$2.25

4 0
3 years ago
How do I explain and the answer to -6(b+2.4)
trasher [3.6K]

Answer:

-6b -14.40

Step-by-step explanation:

First you multiply -6 to b and 2.4

8 0
3 years ago
Can you help me with these 2 questions?
Alenkinab [10]

Answer:

What school you go to

Step-by-step explanation:

step by step go catch friend and step by step friends

6 0
3 years ago
What is the constant ratio formula
Zigmanuir [339]
DEFINITION of 'Constant Ratio Plan' Aconstant ratio plan is a strategic asset allocation strategy, or formula, which keeps the aggressive and conservative portions of a portfolio set at a fixedratio.
3 0
3 years ago
Other questions:
  • Hello - I won't be able to go to bed if I don't solve this thing.
    12·2 answers
  • A standard die is rolled 360 times in hopes of rolling a 5 or 6. So the probability of success is p=1/3. Find the standard devia
    12·1 answer
  • Use the following steps to prove that log b(xy)- log bx+ log by.
    8·1 answer
  • 213∙0÷(283∙516)+(120∙10÷100)
    10·1 answer
  • Solve: 2a - b = ac + 3b for a
    15·1 answer
  • What is the domain of the function y= sqaure root of x ? HELP PLEASEIM TIMED
    9·1 answer
  • Find the conjugate of the complex number 8+12i<br> 1) 96<br> 2) 8-12i<br> 3) -96i<br> 4) 20
    12·1 answer
  • Rita, Abdul, and Deon have a total of $ 128 in their wallets. Abdul has $8 less than Rita. Deon has 3 times what Abdul has
    10·1 answer
  • Please help me soon!! 10 points common plzzz!
    15·1 answer
  • A force of G pounds is required to pull an object weighing W pounds up a ra
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!