Answer:
![\boxed{\sf\: The\: factory \: mad e \: \boxed{ \Huge{\bf 4250} }\: packs \: of \: mint \: gum.}](https://img.qammunity.org/2023/formulas/mathematics/college/5c1dsfa66czutz981m2upef3e35v678u19.png)
Explanation:
Given :
Number of Packs of gum – 5000
Percent of packs that contain mint flavoured gum – 85%
To find :
Packs of mint gum that factory make
Solution :
We know that 85% means 85/100
![\rm \: Now \: Multiply \: 85/100 \: by \: 5000 \: which \: is \: the \: no. \: of \: the \: packs \: of \: gum :-](https://img.qammunity.org/2023/formulas/mathematics/college/vi2mxqdq4e13jjfeolanzhfhafb1vakgkb.png)
Hint :- The Simplified form would be the answer.
Which is :
![\sf \implies \cfrac{85}{100} * 5000](https://img.qammunity.org/2023/formulas/mathematics/college/w30o6qmbs1a297mlxt3hwebhazh04vsp7e.png)
![\rm \: Cancel \: all \: zeroes(two) \: of \: 100 \: and \: two \: zero es \: of \: 5000:-](https://img.qammunity.org/2023/formulas/mathematics/college/6f31210yjr8ov1vwr7o1pf07y0elelzcd9.png)
![\sf \implies \: \cfrac{85}{1 \cancel{00}} * 50 \cancel{00}](https://img.qammunity.org/2023/formulas/mathematics/college/quecagk6quk3pruir9f7d6h4yw92wh073a.png)
![\sf \implies \cfrac{85}{1} * 50](https://img.qammunity.org/2023/formulas/mathematics/college/7uskyvwts3f9w8bq3boxhxwa56td47z4hj.png)
1 is on the denominator.It has no value.So,Just remove it.
![\sf \implies85 * 50](https://img.qammunity.org/2023/formulas/mathematics/college/erk3dxmgf40vnunx3zq91fy44kszlos4t2.png)
![\rm \: Multiply \: 85 \: and \: 50 :-](https://img.qammunity.org/2023/formulas/mathematics/college/h4hr7ph52w7lrod87to0k7hi68878rhq3o.png)
![\sf \implies \: 4250](https://img.qammunity.org/2023/formulas/mathematics/college/82mdqz5jgpfua14syvwq2mn86fbburyu9p.png)
4250 is the result.
Hence,
![\rm \: The\: factory \: mad e \boxed{ 4250 } \: packs \: of \: mint \: gum.](https://img.qammunity.org/2023/formulas/mathematics/college/33qd6v9n0af8znilu70bk9zz865d3zqyri.png)
![\rule{300pt}{2pt}](https://img.qammunity.org/2023/formulas/mathematics/college/gvhrckee84m7pwb14xxcd5i9jcjtm6sj92.png)
I hope this helps!