$MathMaster logo$

MathMaster

Home
general
jim sells hot dogs for 2 95 each and steak sandwiches for 9 95 each out of his food cart during a busy outdoor festival he

Question

Jim sells hot dogs for $2.95 each and steak sandwiches for $9.95 each out of his food cart. During a busy outdoor festival, he sold a total of 985 items for $7343.75. How many steak sandwiches did he sell?

284

likes

1421 views

Answer to a math question Jim sells hot dogs for $2.95 each and steak sandwiches for $9.95 each out of his food cart. During a busy outdoor festival, he sold a total of 985 items for $7343.75. How many steak sandwiches did he sell?

$Expert avatar$

4.9

87 Answers

Let x be number of hot dogs and y be number of steak sandwiches.

1. Start with the two equations:

x + y = 985

2.95x + 9.95y = 7343.75

2. Express

\( x \)

in terms of

\( y \)

using the first equation:

x = 985 - y

3. Substitute

\( x = 985 - y \)

in the second equation:

2.95(985 - y) + 9.95y = 7343.75

4. Distribute

\( 2.95 \)

in the equation:

2905.75 - 2.95y + 9.95y = 7343.75

5. Combine like terms:

2905.75 + 7y = 7343.75

6. Subtract 2905.75 from both sides of the equation:

7y = 4438

7. Divide both sides by 7:

y = 634

Hence, the number of steak sandwiches sold is

\( y = 634 \)

.

Frequently asked questions (FAQs)

Question: Define the function f(x) = ∫[0 to x] (2t + 4) dt. Evaluate f(3).

+

In a right triangle, if the length of one leg is 12 and the hypotenuse is 5 more than double that leg's length, what is the length of the other leg?

+

What is the volume of a cylinder with radius 5cm and height 10cm?

+

New questions in Mathematics

5 squirrels were found to have an average weight of 9.3 ounces with a sample standard deviation is 1.1. Find the 95% confidence interval of the true mean weight

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

(x^2+3x)/(x^2-9)=

Jose bought 3/4 of oil and his sister bought 6/8, which of the two bought more oil?

What payment 7 months from now would be equivalent in value to a $3,300 payment due 23 months from now? The value of money is 2.7% simple interest. Round your answer to 2 decimal places. Show all work and how you arrive at the answer..

A bird randomly chooses to land on 1 of 12 perches available in its aviary. Determine the Probability of it landing on a perch numbered 8 and then on a perch marked with a prime number; take into account that he never lands on the same perch in the sequence.

2x-4y=-6; -4y+4y=-8

Sean must chose a 6- digit PIN number for his online banking account.Each digit can be chosen from 0 to 9. How many different possible PIN numbers can sean chose.

is the x element (180,270), if tanx-3cotx=2, sinx ?

Substitute a=2 and b=-3 and c=-4 to evaluate 2ac/(-2b^2-a)

. What will be the osmotic pressure of a solution that was prepared at 91°F by dissolving 534 grams of aluminum hydroxide in enough water to generate 2.784 ml of solution.

How to do 15 x 3304

Three machines called A, B and C, produce 43%, 26% and 31% of the total production of a company, respectively. Furthermore, it has been detected that 8%, 2% and 1.6% of the product manufactured by these machines is defective. a) What is the probability that a product is not defective? b) A product is selected at random and found to be defective, what is the probability that it was manufactured on machine B?

nI Exercises 65-68, the latitudes of a pair of cities are given. Assume that one city si directly south of the other and that the earth is a perfect sphere of radius 4000 miles. Use the arc length formula in terms of degrees to find the distance between the two cities. 65. The North Pole: latitude 90° north Springfield, Illinois: latitude 40° north

To find the increased amount on a standard term deposit with the following conditions: starting amount: BGN 13000, type of deposit: annual, annual compound interest rate: 1.4%, after 4 years;

Read the “Local Communities as Stakeholders: Does Amazon Really Need Tax Breaks?” example on p. 83 in Ch. 3 of Management: A Practical Introduction. In your response, discuss whether you feel that tax breaks for big companies benefit local communities. Describe ways to attract business to a region without having a negative impact on the larger community.

Define excel and why we use it?

Solve the system of equations by the addition method. 0.01x-0.08y=-0.1 0.2x+0.6y=0.2

The car with an irresponsible driver starts to brake when it goes through a red light. When passing the traffic light, he does so at a speed of 115 kph in the right lane. Further ahead, 70 meters from the traffic light, a child is crossing the street and falls. If the effect of the car's brakes is equivalent to a deceleration of magnitude 5.7m/s². Is the child hit by the car or not? How far from the traffic light does the car stop?