Transcript Percent Mixture Problems - Ms. Martinez Math Class Website

Julie Martinez
Katherynne Perez
Danielle Chagolla
Objective/ Do Now:
OBJECTIVE: I will be able to master standard 15.0 by at least
solving 3 practice problems with 80% accuracy.
Do Now: Solve the following Percent Mixture Problem-
How many liters of a 70% alcohol solution must be
added to 50 liters of a 40% alcohol solution to produce
a 50% alcohol solution?
Vocabulary
Percent: One part in every hundred
Mixture: A substance made by mixing other substances together
Percent Mixture: Are chemistry problems involving unit
cancellation.
Percent Mixture Problems Notes
How do I solve I
percent mixture
problem?
Step: 1~ First you create your 4x4
table
Amount of
Mixture
Percent that Amount that
meets criteria meets
(decimal)
criteria
First
Amount
Second
Amount
Total
Amount
Step: 2~ Fill in your 4x4 table with as
much information given from the
problem.
Percent Mixture Problem (cont.)
Step: 3~ Once you have filled in the
box with the information you needed
you start to multiply the “Amount of
Mixture” with the “ Percent that
meets criteria as decimal” to get your
Amount that meets criteria.
Step:4 ~ You make you equation
(first amount) + (second amount)=
(third amount).
How To Solve a Percent Mixture
Problem Visually
A 72% acid mixture is created by mixing 12pints of a
66% acid solution with 8 pints of another acid
solution. Find the concentration of the other acid
Amount of
Percent that Amount that
solution.
12(.66) + 8x = 20(.72)
Mixture
meets criteria meets
*decimal*
First
Amount
Second
Amount
Total
Amount
12
.66
8
x
20
.72
criteria
12(.66)
7.92+8x=14.40
-7.92
-7.92
8x
8x= 6.48
20(.72)
8x/8= 6.48/8
x= 0.81
x= 0.81
Guided Practice
1. A grocer mixes 2 L of a 34% apple juice beverage with 4 L of
a 19%apple juice beverage. What is the percent
concentration of apple juice in the resulting mixture?
2. A 63% acid solution is created by mixing 3 liters of an 87%
acid solution with 12 liters of another acid solution. Find the
concentration of the other acid solution.
3. An allergist wants to mix some pure water with 2 ounces of
an18% pollen serum to produce a serum that is 12% pollen.
How many ounces of pure water should he use?
Guided Practice (cont.)
4. A restaurant mixes 5 liters of a 13% sugar liquid with some
21%sugar liquid. If the final mixture is 19% sugar, how many
liters of the 21% sugar liquid were used?
5. An 18-gallon solution that is 45% vinegar is mixed with 9
gallons of another solution. The resulting solution is 58%
vinegar. Find the percentage of vinegar in the other solution
6. What is the percent concentration of sand in a mixture a
mason made by mixing 12 pounds of pure sand with 2 pounds
of 72% sand cement?
Exit Slip!!!
Directions: Please complete The two following
problems in your workbook and show your work.
1. 5 fl. oz. of a 2% alcohol solution was mixed with 11 fl.
Oz. of a 66% alcohol solution. Find the concentration of
the new mixture
2. Emily mixed together 9 Gal. of brand a fruit drink and 8
gal. Of Brand B fruit drink, which contains 48% fruit juice.
Find the percent of fruit juice in Brand A if the mixture
contained 30% fruit juice.