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CH 6] Calculating Business 6-11
Example: From Homework 6-2, problems # 29, 30, and 40
Problem
29. 4a + 3c + 2a - c =
Move value and
operand, arrange
in alphabetical
order; left to right 4a + 2a + 3c - c =
by operand. Combine Terms,
perform arithmetic
6a + 2c = as indicated.
Test Solutions: Set values to the variables and solve for the original equation and the solution
equation. USE Variable values that are ½ the size variance such as 4 and 8. Solve each following
PEMDAS.
a = 8, c = 4 RESERVE THE VARIABLES LOW TO HIGH DOUBLING OR a = 1, b = 2, c = 4
With original equation
29. 4a + 3c + 2a - c =
Solution 4(8) + 3(4) + 2(8) - - 4 =
16
=
4
+
12
+
32
44 + 16 - 4 =
60 - 4 = 56
With combined solution
6a + 2c =
6(8) + 2(4) =
48 + 8 = 56
Problem
30. 4a + b + 2c + a + 3b =
Move value and
operand, arrange in 4a + a + b + 3b + 2c = Combine Terms,
alphabetical order; left perform arithmetic
to right by operand. as indicated. 6
5a + 4b + 2c =
Test Solutions: Set values to the variables and solve for the original equation and the solution
equation. USE Variable values that are ½ the size variance such as 4 and 8. Solve each following
PEMDAS. RESERVE THE VARIABLES LOW TO HIGH DOUBLING OR a = 8, b = 4, c = 2
Solution With original equation b + 2c + a + 3b =
30. 4a
+
4(8)
4
+
=
+ 12
8
4 +
+
32 + 4 + 2(2) + 8 + 3(4) =
36 + 4 + 8 + 12 =
40 + 8 + 12 =
48 + 12 = 60
With combined solution
5a + 4b + 2c =
5(8) + 4(4) + 2(2) =
40 + 16 + 4 =
56 + 4 = 60
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