The largest group that can go to the zoo is 23 members
Step-by-step explanation:
The given is:
- A zoo charges an admission price of $85 for the first 12 members of a group and $6 for each additional member of the group
- We need to find the largest group that can go to the zoo and spend less than $155 on admission
Assume that the number of members in the group is x
∵ There are x members in the group
∵ The zoo charges an admission price of $85 for the first 12
members of a group and $6 for each additional member
of the group
- Take 12 members from x and multiply the rest members by
6 and then add 85 to the product
∴ The group will spend = 6(x - 12) + 85
∵ The group wants to spend less than 155 to go to the zoo
- use the symbol < between the expression above and 155
∴ 6(x - 12) + 85 < 155
- Simplify the left hand side
∴ 6x - 72 + 85 < 155
- Add like terms in the left hand side
∴ 6x + 13 < 155
- Subtract 13 from both sides
∴ 6x < 142
- Divide both sides by 6
∴ x < 23.67
- Take the largest integer less than 23.67
∵ 23 is the largest integer less than 23.67
∴ The group has 23 members
The largest group that can go to the zoo is 23 members
Learn more:
You can learn more about the inequalities in brainly.com/question/1465430
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