The value of brand A is $77 billion and the value of brand B is
$34 billion
Step-by-step explanation:
The given is:
1. Brand A has a recognition value worth $43 billion more than brand B
2. The total value of these two brands is $111 billion
We need to find the value of each brands
Write two equations in the values of brands A and B from the two
statements above, and solve them
Assume that the value of brand A is x billion dollars and the value of
brand B is y billion dollars
∵ The value of brand A is $x billion
∵ The value of brand B is $y billion
∵ The value of brand A is more than the value of brand B by
$43 billion
∴ x - y = 43 ⇒ (1)
∵ The total value of these two brands is $111 billion
∴ x + y = 111 ⇒ (2)
Add equations (1) and (2) to eliminate y
∴ 2x = 154
- Divide both sides by 2
∴ x = 77
Substitute the value of x in equation (2) to find the value of y
∵ x + y = 111
∵ x = 77
∴ 77 + y = 111
- Subtract 77 from both sides
∴ y = 34
The value of brand A is $77 billion and the value of brand B is
$34 billion
Learn more:
You can learn more about solving linear equations in brainly.com/question/2115716
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