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Tanya [424]
3 years ago
10

Solve 4(3b + 2) – 5b = 43 for b. Question 4 options: A) b = 3 B) b = 5 C) b = –3 D) b = –5

Mathematics
2 answers:
GuDViN [60]3 years ago
8 0
The answer to this is 5
Lisa [10]3 years ago
7 0

Answer:

b = 5

Step-by-step explanation:

4 ( 3b + 2 ) - 5b = 43     Given

( 4 • 3b + 4 • 2 ) - 5b = 43      Distributive Property

12b + 8 - 5b = 43

12b - 5b + 8 = 43    Combine like terms

7b + 8 = 43

7b + 8 - 8 = 43 - 8     Subtraction Property of Equality

7b = 35

7b / 7 = 35 / 7      Division Property of Equality

b = 5

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Since, out of 40 gumballs there are 8 red gumballs,

So, the ratio of red gumballs and total gumballs = \frac{8}{40}

=\frac{1}{5}

Now, let there are x red gumballs in 200 gumballs,

The ratio of red gumballs and total gumballs = \frac{x}{200}

\implies \frac{x}{200}=\frac{1}{5}

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Hence, the possible number of red gumballs in the jar would be 40.

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