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Anna007 [38]
3 years ago
6

I am thinking of a number, let's call it x . If I increase twice my number by 5, the result is the same as if I triple my number

and subtract 1. Use the 4-step process to write and solve an equation to find my number. Make sure to answer in a sentence.
Mathematics
1 answer:
Mrrafil [7]3 years ago
4 0

Answer: 6

Step-by-step explanation:

Let the number be x

If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. This can be formed into an equation as:

(2 × x) + 5 = (3 × x) - 1

2x + 5 = 3x - 1

5 + 1 = 3x - 2x

x = 6

The number you are thinking of is 6

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Answer:

Part (A): The required equation will be: 6d+20b=150

Part (B):The required equation will be: d=\frac{150-20b}{6}

Part (C):The required equation will be: b=\frac{150-6d}{20}

Step-by-step explanation:

Consider the provided information.

Let d represents number of packages of hot dogs and b represents the number of packages of hamburgers.

Part (a)

It is given that the cost of a package of hot dogs is $6 and cost of a package of hamburger is $20.

The required equation will be: 6d+20b=150

Part (b) Solve the above equation for d.

Subtract 20b from both sides.

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Divide 6 from both sides.

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Part (c) Solve the equation for b.

Subtract 6d from both sides.

20b=150-6d

Divide 20 from both sides, we get

b=\frac{150-6d}{20}

The required equation will be: b=\frac{150-6d}{20}

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