QuestionA store sells 10 pencils and 4 pens. If a larger package has 10 pens, how many pencils does it contain?

Studdy Solution

STEP 1

Assumptions1. The original package contains10 pencils and4 pens. . The larger package maintains the same ratio of pencils to pens.
3. The larger package contains10 pens.

STEP 2

First, we need to find the ratio of pencils to pens in the original package. This can be done by dividing the number of pencils by the number of pens.
$Ratio = \frac{Number\, of\, pencils}{Number\, of\, pens}$

STEP 3

Now, plug in the given values for the number of pencils and pens to calculate the ratio.
$Ratio = \frac{10}{}$

STEP 4

Calculate the ratio of pencils to pens.
$Ratio = \frac{10}{4} =2.$

STEP 5

Now that we have the ratio, we can find the number of pencils in the larger package. This can be done by multiplying the number of pens in the larger package by the ratio.
$Number\, of\, pencils\, in\, the\, larger\, package = Number\, of\, pens\, in\, the\, larger\, package \\times Ratio$

STEP 6

Plug in the values for the number of pens in the larger package and the ratio to calculate the number of pencils in the larger package.
$Number\, of\, pencils\, in\, the\, larger\, package =10 \\times2.5$

STEP 7

Calculate the number of pencils in the larger package.
$Number\, of\, pencils\, in\, the\, larger\, package =10 \\times2.5 =25$ The larger package contains25 pencils.

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