Math Word Problems Demystified - A Self Teaching Guide

 0 : 101 x


 0 : 101

¼

11 : 25

0 : 10

x¼ 112 :5 pounds

4. Letx¼the amount of 18% fertilizer and 50
   x¼the amount of the
   30% fertilizer.
   18 %xþ 30 %ð 50
   xÞ¼ 27 %ð 50 Þ

0 : 18 xþ 0 : 30 ð 50 
xÞ¼ 0 : 27 ð 50 Þ

0 : 18 xþ 15 
 0 : 30 x¼ 13 : 5

 0 : 12 xþ 15 ¼ 13 : 5

 0 : 12 xþ 15 
 15 ¼ 13 : 5 
 15

 0 : 12 x¼
 1 : 5

 0 : 121 x


 0 : 121

¼

1 : 5

0 : 12

x¼ 12 :5 gallons of the 18% solution

50 
x¼ 50 
 12 : 5 ¼ 37 :5 gallons of the 30% solution

5. Letx¼the amount of pure alcohol to be added and the amount of the
   20% solution to be removed.
   20 %ð 40 Þ
   20 %xþ 100 %x¼ 25 %ð 40 Þ

0 : 20 ð 40 Þ
 0 : 20 xþ 1 : 00 x¼ 0 : 25 ð 40 Þ

8 þ 0 : 8 x¼ 10

8 
 8 þ 0 : 8 x¼ 10 
 8

0 : 8 x¼ 2

0 : 81 x

0 : 81

¼

2

0 : 8

x¼ 2 :5 ounces

156 LESSON 14 Solving Mixture Problems