Answer:
15% discount was offered with the family ticket option.
Step-by-step explanation:
We can see from our attachment that price for an adult day ticket is 55 and price for an child's ticket entrance is 45. While family ticket costs 170, which allows entrance for 2 adults and 2 children.
Let us find the cost of tickets without discount for 2 adults and two children.
[tex]\text{ Price of tickets without discount}=2\times(55+45)[/tex]
[tex]\text{ Price of tickets without discount}=2\times(100)[/tex]
[tex]\text{ Price of tickets without discount}=200[/tex]
The family of two 2 adults and 2 children will pay 200 without discount. Now let us find the percentage of discount offered with the family ticket option.
[tex]\text{Percentage of discount offered with family ticket option}=\frac{\text{ Difference}}{\text{Original}}\times 100[/tex]
[tex]\text{Percentage of discount offered with family ticket option}=\frac{(200-170)}{200}\times 100[/tex]
[tex]\text{Percentage of discount offered with family ticket option}=\frac{(30)}{200}\times 100[/tex]
[tex]\text{Percentage of discount offered with family ticket option}=\frac{(30)}{2}=15[/tex]
Therefore, the discount offered with the family ticket option is 15%.
