Math Word Problems Demystified - A Self Teaching Guide

30 xþ 150 ¼ 300

30 xþ 150 
 150 ¼ 300 
 150

30 x¼ 150

301 x

301

¼

150

30

x¼5 nickels

xþ 6 ¼ 5 þ 6 ¼11 quarters

4. Letx¼the number of quarters and 32
   x¼the number of nickels;
   then the value of the quarters is 25xand the value of the nickels
   is 5(32
   x).

25 xþ 5 ð 32 
xÞ¼ 3 : 80  100

25 xþ 160 
 5 x¼ 380

20 xþ 160 ¼ 380

20 xþ 160 
 160 ¼ 380 
 160

20 x¼ 220

201 x

201

¼

220

20

x¼11 quarters

32 
x¼ 32 
 11 ¼21 nickels

5. Let x¼the number of pennies, 2x¼the number of dimes, and
   xþ 3 ¼the number of nickels; then the value of the pennies is 1x,
   the value of the dimes is 10 2 x, and the value of the nickels is 5(xþ3).

xþ 10  2 xþ 5 ðxþ 3 Þ¼ 1 : 97  100

xþ 20 xþ 5 xþ 15 ¼ 197

26 xþ 15 ¼ 197

26 xþ 15 
 15 ¼ 197 
 15

114 LESSON 11 Solving Coin Problems