Answer:
![\boxed{\bf\: The \: park \: sold \boxed{ 34{}} \: child \: tickets.}](https://img.qammunity.org/2023/formulas/mathematics/high-school/pdun18p1rayn8ktg8wn68uf6d20dscuei6.png)
Explanation:
Given:
Percentage of Tickets sold at a water park - 68%
The Number of Tickets if the park sold in all - 50
To Find:
The Number of child tickets the park sold.
Solution:
We know that 68% equals to 68/100.
Step 1: Multiply 68/100 by 50 which is the number of tickets the park sold :-
![\sf \: = \: \cfrac{68}{100} * 50](https://img.qammunity.org/2023/formulas/mathematics/high-school/2i6w4grr9zi47cpjof0wa9pc0tpf6xn4pv.png)
Note:The Simplified form of 68/100 * 50 would be the answer to this question.
Step 2: Cancel One zero of 50 and one zero of 100,That is:-
![\sf = \cfrac{68}{ 10\cancel0} * 5 \cancel0](https://img.qammunity.org/2023/formulas/mathematics/high-school/dgeo8duwsnygqtvt4njfsijkt1bo3ukvhy.png)
Results to,
![\sf = \cfrac{68}{10} * 5](https://img.qammunity.org/2023/formulas/mathematics/high-school/fd3my6svoa4kjy8occ4yjm0xzsvu259x7n.png)
Step 3: Cancel 5 and 10, That is:-
![\sf = \cfrac{68}{ \cancel{10 }} * \cancel5](https://img.qammunity.org/2023/formulas/mathematics/high-school/vbpfmdn5o0k32z6xs0o1n1jab7zw9dysxd.png)
Results to,
![\sf =\: \cfrac{68}{2} * 1](https://img.qammunity.org/2023/formulas/mathematics/high-school/clunw5l3cww2lhoaduy19ysnt31ocj212k.png)
![\sf = \cfrac{68}{2}](https://img.qammunity.org/2023/formulas/mathematics/high-school/d8a01yquzrnl616bknyesqeyzs6xpj1aig.png)
Step 4: Cancel 68 and 2, That is:-
![\sf =\: \cfrac{ \cancel{68}}{ \cancel2}](https://img.qammunity.org/2023/formulas/mathematics/high-school/cbah7ufij9bofq8kh51o8lf2ha2livzufw.png)
Results to,
![\sf = \cfrac{34}{1}](https://img.qammunity.org/2023/formulas/mathematics/high-school/wzlf74pnupqf3f9c9e6ji8pbvwsgwppgjh.png)
![\sf = 34](https://img.qammunity.org/2023/formulas/mathematics/high-school/fp6twg4plunrh9fhoxckg1mh59ob1bwnob.png)
34 is the result.
Hence,
![\underline{ \rm \: The \: park \: sold \: \bold{ 34 } \: child \: tickets.}](https://img.qammunity.org/2023/formulas/mathematics/high-school/4d7j4jihw5aqparhuslpbhsi0yzjwyrjoy.png)
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I hope this helps!
Let me know if you have any questions.I am joyous to help!