introduction to mixture applications the following is designed to help you understand the basics of...
TRANSCRIPT
Introduction to Mixture Applications
The following is designed to help you understand the basics of one of the popular application problems in introductory algebra: mixture problems.
40
10040%
85
10085%
Recall that percent means per hundred, so ...
Example 1:
The jar on the right is marked in 10 equal divisions.
10987654321
Fill the jar with acid up to the “2” mark …
Example 2:
The jar on the right is marked in 10 equal divisions.
10987654321
Fill the jar with acid up to the “2” mark …
… and add water to the top of the glass…
Example 2:
The jar on the right is marked in 10 equal divisions.
10987654321
Fill the jar with acid up to the “2” mark …
… and add water to the top of the glass…
Example 2:
The jar has 2 units of acid …
10987654321
… and 8 units of water.
10987654321
… for a total of 10 units of mixed solution.
10987654321
The acid represents 2 units …
… out of a total of 10 units, or …
10987654321
2
10
units acid
units total
2 10
10 10
20
100
20%
10987654321
This means that the acid represents 20% of the total liquid in the jar.
Figured another way, the amount of acid is
20% 10 units
0.20 10
units of d2 aci
% acid total
10987654321
Mix 2 units of acid with only 6 units of added water.
Example 3:
109876543212 units of acid
6 units of water
Mix 2 units of acid with only 6 units of added water.
Example 3:
10987654321
2
8
units acid
units total
2
8
25
100
25%
1
4
1 25
4 25
10987654321
This means that the acid represents 25% of the total liquid in the jar.
Figured another way, the amount of acid is
25% 8 units
0.25 8
units of d2 aci
% acid total
10987654321
Mix acid and water again.
Example 4:
10987654321
Mix acid and water again.
Example 4:
3
9
units acid
units total
3
9
133 %
3
1
3
10987654321
133 % 9 units
3
19
3
units of d3 aci
% acid total
10987654321
Mix acid and water again.
Example 5:
10987654321
Mix acid and water again.
Example 5:
If the solution is 60% acid, determine the number of units of acid
10987654321
60% 8 units
0.6 8
units of 4.8 acid
% acid total
10987654321
Assume the jar has x units of solution that is 40% acid.
Example 6:
x
40% acid
Write an expression for the amount of acid in the jar.
% acid total
40% x
0.40x
