Answer:
They make 2000 brown crayons on that day.
Explanation:
Given:
Crayola makes 3 red crayons for every 2 brown crayons.
On Tuesday, their factory made 1,000 more red crayons than brown.
Now, to find the number of brown crayons they make that day.
Let the numbers of brown crayons be
![x.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mmi228653dkvma4dszwy75q6dvkduzr4zg.png)
So, the number of red crayons =
![1000+x.](https://img.qammunity.org/2021/formulas/mathematics/high-school/dke1pv4g60rr24ycrifxefb5ghrfpovryx.png)
As given, 3 red crayons for every 2 brown crayons.
So, the ratio is 3:2.
Thus, 3 is equivalent to 2.
So, 1000+
is equivalent to
![x.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mmi228653dkvma4dszwy75q6dvkduzr4zg.png)
Now, to get the number of brown crayons by using cross multiplication method:
![(3)/(2) =(1000+x)/(x)](https://img.qammunity.org/2021/formulas/mathematics/high-school/rriindae924ym640wzray9pzaxspyxsp7o.png)
By cross multiplying we get:
![3x=2000+2x](https://img.qammunity.org/2021/formulas/mathematics/high-school/9i4jmj518xpmuk89u9j6ofkbw3ndm7e6v9.png)
Subtracting both sides by 2
we get:
![x=2000.](https://img.qammunity.org/2021/formulas/mathematics/high-school/woaje3sh7vxtu1bkioy0c5pa0bx3o56kpk.png)
Therefore, they make 2000 brown crayons on that day.