Math Word Problems Demystified - A Self Teaching Guide
LESSON 14 Solving Mixture Problems Many real-life problems involve mixtures. There are two basic types of mixture problems. One ...
alcohol. How much of each should be mixed to get 20 ounces of a solution which is 8% alcohol? SOLUTION: GOAL: You are being aske ...
0 : 051 x 0 : 051 ¼ 0 : 6 0 : 05 x¼12 ounces of Mixture 1 20 x¼ 20 12 ¼8 ounces of Mixture 2 Hence 12 ounces of the 10% solut ...
The equation is Alloy 1 þ Alloy 2 ¼ Alloy 3 70 %xþ 50 %ð 12 xÞ¼ 65 %ð 12 Þ IMPLEMENTATION: Solve the equation: 70 %xþ 50 %ð 12 ...
The amount of Mixture 1 equals the amount of Mixture 2. The amount to be removed equals the amount to be added. EXAMPLE:How much ...
EVALUATION: Check the equation: 30 %ð 48 Þ 30 %ðxÞþ 0 %x¼ 20 %ð 48 Þ 30 %ð 48 Þ 30 %ð 16 Þþ 0 %ð 16 Þ¼ 20 %ð 48 Þ 14 : 4 4 : ...
IMPLEMENTATION: Solve the equation: 4 xþ 3 ð 20 xÞ¼ 3 : 75 ð 20 Þ 4 xþ 60 3 x¼ 75 xþ 60 ¼ 75 xþ 60 60 ¼ 75 60 x¼15 pounds ...
How much of a solution that is 18% fertilizer must be mixed with a solution that is 30% fertilizer to get 50 gallons of a solut ...
0 : 151 x 0 : 151 ¼ 0 : 9 0 : 15 x¼6 ounces of 20% butterfat liquid 10 x¼ 10 6 ¼4 ounces of 5% butterfat liquid Letx¼the amo ...
0 : 101 x 0 : 101 ¼ 11 : 25 0 : 10 x¼ 112 :5 pounds Letx¼the amount of 18% fertilizer and 50x¼the amount of the 30% fe ...
Hence 2.5 ounces of pure alcohol must be added to increase the concentration after 2.5 ounces have been removed. Letx¼the numbe ...
Letx¼the number of pounds of the $2.00 cookies. 1 : 50 ð 8 Þþ 2 : 00 x¼ 1 : 80 ð 8 þxÞ 12 þ 2 : 00 x¼ 14 : 4 þ 1 : 8 x 12 þ 2 ...
Letx¼the cost of the other type of candy she will need to use. 8 : 00 ð 12 Þþxð 18 Þ¼ 5 : 00 ð 30 Þ 96 þ 18 x¼ 150 96 96 þ 1 ...
15 LESSON Solving Finance Problems Finance problems use the basic concepts of investment. There are three terms that are used. T ...
EXAMPLE:A person has $5000 to invest and decides to invest part of it at 4% and the rest of it at 6^12 %. If the total interest ...
0 : 0251 x 0 : 0251 ¼ 80 0 : 025 x¼$3200 invested at 4% 5000 x¼ 5000 3200 ¼$1800 invested at 6 1 2 % EVALUATION: Find ...
0 : 15 x¼ 315 0 : 151 x 0 : 151 ¼ 315 0 : 15 x¼ 2100 2 x¼ 2 ð 2100 Þ¼ 4200 Hence the person has $2100 invested at 3% and $4200 i ...
IMPLEMENTATION: Solve the equation: 4 %xþ 5 %ðxþ 800 Þ¼$ 103 0 : 04 xþ 0 : 05 ðxþ 800 Þ¼ 103 0 : 04 xþ 0 : 05 xþ 40 ¼ 103 0 : 09 ...
STRATEGY: Letx¼the amount invested at 2%, 3x¼the amount of money invested at 5%, andxþ 600 ¼the amount of money invested at 3%. ...
EVALUATION: Find the three interests and add to see if you get $98. Use I¼PRTwhereT¼1. First investment:I¼ 2 %ð 400 Þ¼$ 8 Second ...
«
4
5
6
7
8
9
10
11
12
13
»
Free download pdf