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You spend $16 on 3 notebooks and x binders. Notebooks cost $2 each and binders cost $5 each. Write an equation you can use to find the number of binders you bought. Please explain what you did!

Verified Answer :

sjd345

You multiply 3x2, which equals 6-16. You will get 10, and then you see that binders are $5. 5x2 equals ten, so you got 2 binders.

andabps

Answer:

2 binders.

Step-by-step explanation:

Let's define our problem.

Let \(n\) identify our notebooks and \(b\) our binders, where \(p\) is the price and \(q\) is the quantity.

We know that the sum of the quantity of each good multiplied by its price should not exceed $16 and this can be expressed by the following equation:

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Now, which variables do we know?

We know that we bought 3 notebooks at $2 each, so: \(p_{n} =2 \\q_{n}=3\)

On the other hand, we know that the binders cost $5 each, although we don't know how many we bought, so: @@MATH_TOKEN_6@@

Substituting our known variables into our equation, we get:

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For which we solve:

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Now you can use this equation to find the number of binders we bought, finding the value for the unknown variable.

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So, according to our equation, we bought 2 binders at the price of $5 each.

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