Mathematics, 28.06.2019 18:30, abramdent

How much of a spice that is 3% salt should be added to 175 ounces of a spice that is 6% salt in order to make a spice that is 5% salt?

How much of a spice that is 3% salt should be added to 175 ounces of a spice that is 6% salt in orde

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answered: sCoTtYbOy5329

Let y represents the ounces of first spice.

From the given statements, we draw a table as shown below:

ounces of spice Percentage ounces of salt

First spice y 3% 0.03x

Second spice 175 6% 175(0.06)

Final mixture y + 175 5% (x+15)(0.05)

Now, to solve for y

we have;

Final spice = First spice + second spice

0.03y + 175(0.06) = (y+175)(0.05)

0.03y+ 10.5= 0.05y+ 8.75

Subtract 10.5 on both sides we have;

0.03y+ 10.5 -10.5= 0.05y+ 8.75 -10.5

Simplify:

0.03y = 0.05y -1.75

Subtract 0.05y on both sides

0.03y -0.05y= 0.05y -1.75-0.05y

Simplify:

-0.02y = -1.75

Divide both sides by -0.02, we get;

$y = \frac{-1.75}{-0.02} = 87.5$

Therefore, 87.5 ounces of spices that is 3% salt should be added to 175 ounces of a spice that is 6% salt in order to make a spice that is 5% salt

answered: springtrap77391

It needs 87.5 ounces of spice that is 3% salt.

Further explanation

Order of Operations in Mathematics follow this following rule :

ParenthesesExponentsMultiplication and DivisionAddition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem !

$\texttt{ }$

Given:

175 ounces of a spice that is 6% salt

$\texttt{mass of salt from this spice} = s_1 = 6\% \times 175 = 10,5 \texttt{ ounces}$

$\texttt{ }$

x ounces of a spice that is 3% salt

$\texttt{mass of salt from this spice} = s_2 = 3\% \times x = 0.03x \texttt{ ounces}$

$\texttt{ }$

(175 + x) ounces of a spice that is 5% salt

$\texttt{total mass of salt} = s_1 + s_2$

$5\% \times ( 175 + x ) = 10.5 + 0.03x$

8.75 + 0.05x = 10.5 + 0.03x

0.05x - 0.03x = 10.5 - 8.75

0.02x = 1.75

$x = 1.75 \div 0.02$

$x = 175 \div 2$

$x = 87.5 \texttt{ ounces}$

$\texttt{ }$

Learn moreInfinite Number of Solutions : System of Equations : System of Linear equations : Student's Shirt : Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent , cookies , chocolate , chip , paper , fourth , pieces , Number , 51 , 33 , 1/3

How much of a spice that is 3% salt should be added to 175 ounces of a spice that is 6% salt in orde

answered: Guest

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.