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musickatia [10]
3 years ago
10

A number is increased by 54. The sumos then divided by 9. The result is 21. Write an equation to represent the discription, use

n for the number
Mathematics
1 answer:
hram777 [196]3 years ago
6 0

Answer:

  (n+54)/9 = 21

Step-by-step explanation:

A number: n

Is increased by 54: n+54

The sum is divided by 9: (n +54)/9

and the result is 21:

  (n +54)/9 = 21

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3 years ago
Two lemon creams plus four fudge cookies have 450 calories. Four lemon creams plus two fudge cookies have 420 calories. How man
Gnoma [55]

Answer:

Each fudge cookie has 80 calories.

Each lemon cream has 65 calories.

Step-by-step explanation:

We will let \ell represent the calories in lemon creams and f represent the calories in fudge cookies.

Two lemon creams and four fudge cookies together have 450 calories. So, we can write the following equation:

2\ell+4f=450

And four lemon creams plus two fudge cookies together have 420 calories. So, we can write the following equation:

4\ell+2f=420

We now have a system of equations. We can solve this by elimination.

For the first equation, we can multiply both sides by -2. This way, the \ell will cancel when we add the two equations together.

So, the first equation becomes:

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Add this to the second equation. Hence:

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Divide both sides by -6. Hence:

f=80

So, there are 80 calories in one cookie.

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2\ell+4f=450

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Then it follows that:

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Answer:

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