Math Word Problems Demystified - A Self Teaching Guide

26 x¼ 182

261 x

261

¼

182

26

x¼7 pennies

2 x¼ 2  7 ¼14 dimes

xþ 3 ¼ 7 þ 3 ¼10 nickels

6. Letx¼the number of half dollars, 3x¼the number of quarters, and
   xþ 6 ¼the number of dimes; then the value of the half dollars is 50x,
   the value of the quarters is 25 3 x, and the value of the dimes is
   10(xþ6).

50 xþ 25  3 xþ 10 ðxþ 6 Þ¼ 4 : 65  100

50 xþ 75 xþ 10 xþ 60 ¼ 465

135 xþ 60 ¼ 465

135 xþ 60 
 60 ¼ 465 
 60

135 x¼ 405

1351 x

1351

¼

405

135

x¼3 half dollars

3 x¼ 3  3 ¼9 quarters

xþ 6 ¼ 3 þ 6 ¼9 dimes

7. Letx¼the number of 37c stamps and (12
   x)¼the number of 23c
   stamps; then the value of the 37c stamps is 37xand the value of the
   23 c stamps is 23(12
   x).

37 xþ 23 ð 12 
xÞ¼ 3 : 74  100

37 xþ 276 
 23 x¼ 374

14 xþ 276 ¼ 374

LESSON 11 Solving Coin Problems 115