QuestionHow long does it take the Baxter boys to prepare 131 newspapers at a rate of 25 in 3 minutes?

Studdy Solution

STEP 1

Assumptions1. The Baxter boys can prepare25 newspapers in3 minutes. . They need to prepare131 newspapers.
3. The rate at which they prepare the newspapers is constant.

STEP 2

First, we need to find the rate at which the Baxter boys can prepare newspapers. We can do this by dividing the number of newspapers they can prepare by the time it takes them.
$Rate = \frac{Number\, of\, newspapers}{Time\, in\, minutes}$

STEP 3

Now, plug in the given values for the number of newspapers and time to calculate the rate.
$Rate = \frac{25}{3}$

STEP 4

Calculate the rate at which the Baxter boys can prepare newspapers.
$Rate = \frac{25}{3} =8.\overline{3}\, newspapers/minute$

STEP 5

Now that we have the rate, we can find the time it takes for the Baxter boys to prepare131 newspapers. We can do this by dividing the total number of newspapers by the rate.
$Time = \frac{Total\, number\, of\, newspapers}{Rate}$

STEP 6

Plug in the values for the total number of newspapers and the rate to calculate the time.
$Time = \frac{131}{8.\overline{3}}$

STEP 7

Calculate the time it takes for the Baxter boys to prepare131 newspapers.
$Time = \frac{131}{.\overline{3}} =15.72\, minutes$

STEP 8

Since the problem asks for the time to the nearest minute, we need to round our answer. $Time =16\, minutes$ The Baxter boys will take16 minutes to prepare131 newspapers.

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