Download Real World Problems

Ex: 1 Solving Word Problems


The sum of two numbers is 115. The
difference is 21. Find the numbers.
Let x = one number
Let y = the other number
#1
x  y  115
#2
x  y  21
Ex: 1 Solving Word Problems
x  y  115
68  y  115
x  y  21
y  47
2x  136
x  68
(68, 47)
Ex: 1 Solving Word Problems
x  y  115
68  y  115
x  y  21
y  47
2x  136
x  68
(68, 47)
Ex: 2 Solving Word Problems
Sasha earned 4 times as much as Alyssa. If
they earned a total of $1100, how much did
each one earn?

Let S = Sasha’s earnings

Let A = Alyssa’s earnings
#1
#2
S  4A
S  A  1100
Ex: 2 Solving Word Problems
S  4(220)
S  4A
S  A  1100
S  880
4 A  A  1100
5 A  1100
A  220
Sasha earns $880
Alyssa earns $220
#2 Solving Word Problems
Darryl earns 7 times as much as Jason. If
they earned $3280 together, how much did
each earn?
Darryl earns $2870
Jason earns $410
2 Solving Word Problems
The sum of two numbers is 30. Their
difference is 40. Find the numbers.
(35,  5)
Ex: 3 Solving Word Problems


Four pencils and two pens cost $0.74. Six
pencils and five pens cost $1.53. Find the
cost of each pencil and a pen.
Let x = # of pencils
Let y = # of pens
#1
4 x  2 y  0.74
#2
6 x  5 y  1.53
Ex: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(.608
6 xx510
y y 1.53
x )52y )y02.(74
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
#3 Solving Word Problems
Four oranges and five apples cost $3.56.
Three oranges and four apples cost $2.76.
Find the cost of an orange and the cost of an
apple.
Oranges cost $0.44 each
Apples cost $0.36 each
Ex: 4 Word Problems
A jar of quarters and dimes contains
$3.05. There are 6 more dimes than
quarters?
 Let q = the # of quarters
 Let d = the # of dimes
#1 25q  10d  305
#2
d  q6
Ex: 4 Word Problems
25q  10d  305
d  q6
25q  10(q  6)  305
d  76
d  13
25q  10q  60  305
35q  245
q7
7 Quarters
13 Dimes
#4 Solving Word Problems
A collection of dimes and quarters is worth
$25.00. There are 40 more dimes than
quarters. How many are there?
60 Quarters
100 Dimes