Transcript Mixture Problems

x
3
4
4 x
 43
4
x  12
1.) 4 
2
2.) 5 
x6
5
5 2
x  56
5
2x  30
2
2
x  15
3.) 7 
x
 3  2
7
7 x
3  7  2  7
7
x 21  14
21 21
x7
CA Standards:
10.0: Students add, subtract, multiply, and divide monomials and polynomials.
Students solve multi-step problems, including word problems, by using these
techniques.
Objectives:
Students solve Mixture Word Problems.
Agenda: 9/25/11
1.) Warm – Up
2.) Lesson on Mixture Problems ppt.
3.) Assignment with solutions
4.) STAY ON TASK!!
Example 1:
2 cubic meters (m³) of soil containing 35% sand
was mixed into 6 m³ of soil containing 15%
sand. What is the sand content of the mixture?
(6 +
8 2)
m3m3
6 m3
2 m3
35%
15%
2(35%)
6(15%)
?%
(6 8(?%)
 2)(?%)
8 m3
6 m3
2 m3
35%
15%
2(35%)
6(15%)
?%
8(?%)
70  90  8x
160  8x
8
8
20%  x
You Try:
4 cubic meters (m³) of soil containing 25% sand
was mixed into 8 m³ of soil containing 10%
sand. What is the sand content of the mixture?
m3m3
(4 12
+ 8)
8 m3
4 m3
25%
10%
4(25%)
8(10%)
x%
(412(
 8x)(%)
x%)
12 m3
8 m3
4 m3
x%
25%
10%
4(25%)
8(10%)
12( x%)
100  80  12x
180  12x
12 12
15%  x
Example 2:
How many pounds of only blue m&m’s must be
added to an 11 pound bag containing 35% blue
to make a bag that is 45% blue?
x + 11 pounds
x pounds
11 pounds
100%
45%
35%
x(100%)
11(35%) ( x  11)(45%)
x + 11 pounds
x pounds
11 pounds
100%
45%
35%
x(100%)
11(35%) ( x  11)(45%)
100x  385  45x  495
45x
45x
55x  385  495
 385 385
55x  110
x 2