3.53.5Word ProblemsWord Problems

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 Solving Word Problems

#1

#2 11y x

97x y

#1 Solving Word Problems

11y x 97x y 11 97x x

2 11 97x 2 108x

54x

54 11y 43y

54 and 43

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

#2 Solving Word Problems

#1

#2 40yx

180 yx

#2 Solving Word Problems

40yx180 yx

18040 yy

180402 y1402 y70y

x7040

x110

110 SUVs sold

70 Trucks sold

#3 Solving Word Problems

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

#2 53.156 yx

74.024 yx

#3 Solving Word Problems

53.156 yx

74.024 yx

)53.1(2)56(2 yx

)74.0(5)24(5 yx70.31020 yx06.31012 yx

64.08 x08.0x

74.024 yx

74.02)08.0(4 y

74.0232.0 y

42.02 y

21.0yPencils cost $0.08 each

Pens cost $0.21 each

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

#4 Solving Word Problems

108a c #1

4 2 348a c #2

#4 Solving Word Problems

108a c 4 2 348a c

2( ) 108( 2)a c 2 2 216a c 4 2 348a c

2 132a 66a 66 108c

42c 66 adults

42 children