At the city museum, child admission is $5.10 and adult admission is $8.20. On Thursday, three times as many adult tickets as child tickets were sold, for a total sales of $1069.20. How many child tickets were sold that day?

Name: Solved: At the city museum, child admission is $5.10 and adult admission is $8.20. On Thursday, three times as many adult tickets as child tickets were sold, for a total sales of $1069.20. How many child tickets were sold that day? - MathMaster
Brand: MathMaster
Rating: 4.9 (295 reviews)

295

likes

1473 views

Answer to a math question At the city museum, child admission is $5.10 and adult admission is $8.20. On Thursday, three times as many adult tickets as child tickets were sold, for a total sales of $1069.20. How many child tickets were sold that day?

$Expert avatar$

Murray

4.5

92 Answers

Let

be the number of child tickets sold.
Then the number of adult tickets sold is

.

The total sales can be expressed as:

5.10x + 8.20(3x) = 1069.20

Solve for

5.10x + 24.60x = 1069.20

29.70x = 1069.20

x = \frac{1069.20}{29.70}

x \approx 36

Therefore, 36 child tickets were sold that day.

\boxed{36}

child tickets were sold that day.

Frequently asked questions (FAQs)

What is the common characteristic of exponential functions f(x) = 10^x and f(x) = e^x in terms of their growth rates and behavior as x approaches positive and negative infinity?

What is the maximum number of turning points in a cubic function f(x) = x^3 within a specific domain?

What is the probability of getting exactly 2 successes in 5 independent trials, given a success probability of 0.3?

New questions in Mathematics

A particular employee arrives at work sometime between 8:00 a.m. and 8:50 a.m. Based on past experience the company has determined that the employee is equally likely to arrive at any time between 8:00 a.m. and 8:50 a.m. Find the probability that the employee will arrive between 8:05 a.m. and 8:40 a.m. Round your answer to four decimal places, if necessary.

Convert the following function from standard form to vertex form f(x) = x^2 + 7x - 1

CASE 6-1: PREPARE A PRODUCTION PLAN: WHAT PROBLEMS ARRIVE? Midwest Plastics Company has conducted profit planning for several years. The president stated (with justification) that inventory control and planning had not been satisfactory, which was mainly due to poor planning of production and inventory budgets. Please analyze and provide recommendations, in detail, on the issue regarding the 20B profit plan, which is now being prepared. Their analysis and recommendations will be presented to the executive committee. Despite the seasonality factor, the sales department has been successful in developing a sales plan, on a monthly basis, for each year. The following sales data is available for 20B. 1. Sales plan summary for 20B: 2. Finished goods inventory, as of January 1, 20B, is 96,000 units. 3. Work-in-process inventory will remain constant. 4. Actual annual sales in 20A, including the estimate for December, were 350,000 units. 5. The average finished goods inventory during 20A was 70,000 units. IT IS REQUESTED. 1. Prepare the annual production budget, assuming that management policy is to budget ending finished goods inventory at a standard quantity, based on the ratio of historical sales of 20A to inventory turnover. 2. Prepare a schedule showing sales, production, and inventory levels for each month, assuming: 1) stable inventory, 2) stable production, and 3) recommended inventory-production levels. In developing your recommendations, assume that the following policies have been established: a) The president has set the policy that a maximum inventory of 85,000 units and a minimum inventory of 75,000 units should be used, except in abnormal circumstances. b) A stable level of production is definitely preferred, except that during the holiday season in July and August, production may be reduced by 25 percent. Likewise, a variation in production of 7.5 percent above and below the average level is acceptable. 3. What are the main problems faced by the company in production planning? Make your general recommendations.

Since one of the three integers whose product is (-60) is (+4), write the values that two integers can take.

2x-y=5 x-y=4

A brass cube with an edge of 3 cm at 40 °C increased its volume to 27.12 cm3. What is the final temperature that achieves this increase?

Solve the math problem 400 students are asked if they live in an apartment and have a pet: Apartment: 120 Both: 30 Pet: 90 The probability that a randomly selected student not living in an apartment has a pet is

-3x 2y = -6; -5x 10y = 30

∫ √9x + 1 dx