Download 3.5 (Word Problems)

3.5
Word Problems
#1 Solving Word Problems
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The sum of two numbers is 97. The
second number is 11 less than the first.
Find the numbers.
Let x = the first number
Let y = the second number
#1
x  y  97
#2
y  x  11
#1 Solving Word Problems
x  y  97
y  x  11
x  x 11  97
y  54  11
y  43
2x 11  97
2x  108
x  54
54 and 43
#2 Solving Word Problems
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A Ford dealership sold 180 SUVs and
trucks at a sale. The dealership sold
40 more SUVs than trucks. How many
of each did they sell?
Let x = # of SUVs
Let y = # of trucks
#1
x  y  180
#2
x  y  40
#2 Solving Word Problems
x  y  180
y  40  y  180
2 y  40  180
2 y  140
y  70
x  y  40
40  70  x
110  x
110 SUVs sold
70 Trucks sold
#3 Solving Word Problems
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Four pencils and two pens cost $0.74. Six
pencils and five pens cost $1.53. Find the
cost of one pencil and one pen.
Let x = cost of one pencil
Let y = cost of one pen
#1
4 x  2 y  0.74
#2
6 x  5 y  1.53
#3 Solving Word Problems
.74
4
20x x210
y y 0.74
3.70
54(4xx22yy
) 05
(0.74)
 12
3.06 4(20(.6
08x )52y )y02.(74
6 xx510
y y 1.53
1.53)
8x  0.64
x  0.08
Pencils cost $0.08 each
Pens cost $0.21 each
0.32  2 y  0.74
2 y  0.42
y  0.21
#4 Solving Word Problems
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There were 108 paid admissions to a game.
The price was $4 for adults and $2 for
children. The amount spent was $348.
How many adults and how many children
attended the game?
Let a = the # of adults attending
Let c = the # of children attending
a  c  108
#2 4a  2c  348
#1
#4 Solving Word Problems
2(aacc)  108(
108 2)
4a  2c  348
66  c  108
c  42
2a  2c  216
4a  2c  348
2a  132
a  66
66 adults
42 children