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. What is the largest group that can go to the zoo and spend less than $155 on admission?

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

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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. What is the largest group that can go to the zoo and spend less than $155 on admission?​