MathMaster logo

MathMaster

  1. Home
  2. general
  3. 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
Nash
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)
What is the period of the function f(x) = sin(2x)?
+
What is the length of the hypotenuse of a right triangle with sides measuring 3 units and 4 units?
+
What percentage of students in a class scored above 80% in the math final exam?
+
New questions in Mathematics
A pump with average discharge of 30L/second irrigate 100m wide and 100m length field area crop for 12 hours. What is an average depth of irrigation in mm unIt?
The patient is prescribed a course of 30 tablets. The tablets are prescribed “1 tablet twice a day”. How many days does a course of medication last?
Calculate the equation of the tangent line ay=sin(x) cos⁡(x)en x=π/2
What’s 20% of 125?
(5u + 6)-(3u+2)=
If the midpoint of point A on the x=3 line and point B on the y=-2 line is C(-2,0), what is the sum of the ordinate of point A and the abscissa of point B?
A person borrows rm 1000 from a bank at an interest rate of 10%. After some time, he pays the bank rm 1900 as full and final settlement of the loan. Estimate the duration of his loan.
4x/2+5x-3/6=7/8-1/4-x
There are four times as many roses as tulips in Claire’s garden. Claire picked half of the number of roses and 140 roses were left in the garden. How many roses and tulips were in the Garden the first?
Suppose the Golf ball market is perfectly competitive and the functions are known: Q = 120 – 2Px – 2Py 0.2I Q = 2Px 40 Where I = Consumers' income ($200) and Py = Price of Good Y (40) Calculate the equilibrium elasticity: a) 1.6 b) -6 c) 6 d) 0.6
The ninth term of a given geometric progression, with reason q , is 1792, and its fourth term is 56. Thus, calculate the fourth term of another geometric progression, whose ratio is q +1 and whose first term is equal to the first term of the first P.G. described.
If X1 and X2 are independent standard normal variables, find P(X1^2 + X2^2 > 2.41)
30y - y . y = 144
Determine the increase of the function y=4x−5 when the argument changes from x1=2 to x2=3
Find each coefficient described. Coefficient of u^2 in expansion of (u - 3)^3
A teacher has 25 red and yellow counters altogether. She has 4 times as many red counters than yellow counters. How many yellow counters does the teacher have?
In a laboratory test, it was found that a certain culture of bacteria develops in a favorable environment, doubling its population every 2 hours. The test started with a population of 100 bacteria. After six hours, it is estimated that the number of bacteria will be:
X^X =49 X=?
Find the equation of a straight line that has slope 3 and passes through the point of (1, 7) . Write the equation of the line in general forms
-1/3x+15=18

You might be interested in