Bijou Museum sells 75% of its tickets for the regular price of $14. The remaining discount tickets are sold for the price of $10. Variable cost per guest is $2 for both groups, and fixed costs total $66,000 per month. What are the number of regular-price guests and discount guests at the breakeven point?

Regular price guests = 3300

Discount price guests = 1100

Step-by-step explanation:

Breakeven point is the point where total revenue and total cost are equal.

Now, we know total cost is $66,000 per month.

Now, we are told that the museum sells 75% of its tickets for the regular price of $14.

If the total number of tickets is x. It means the number of regular tickets guests is 75%x = 0.75x

We are told that variable cost per guest in each group is $2. This means that total revenue from regular tickets guest is;

14(0.75x) + 2(0.75x) = 12x

Now, the remaining tickets are discount tickets sold for $10.

It means number of discount tickets guests = 0.25x

Total revenue from discount tickets =

10(0.25x) + 2(0.25x) = 3x

Thus, at break even point, we have;

12x + 3x = 66000

15x = 66000

x = 66000/15

x = 4400

Thus;

Regular price guests = 0.75 × 4400 = 3300

Discount price guests = 0.25 × 4400 = 1100

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

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