$MathMaster logo$

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)

Math question: What is the derivative of the function f(x) = 5x^3 + 2x^2 - 3x + 1?

+

What is the simplified form of (3^4 * 3^2) / (3^3 * 3^5)?

+

What is the domain of the function f(x) = sin(x) + cos(x) when x is in radians?

+

New questions in Mathematics

Solution to the equation y'' - y' - 6y = 0

Exercise 4 - the line (AC) is perpendicular to the line (AB) - the line (EB) is perpendicular to the line (AB) - the lines (AE) and (BC) intersect at D - AC = 2.4 cm; BD = 2.5 cm: DC = 1.5 cm Determine the area of triangle ABE.

Using the integration by parts method, calculate the integral of [x².ln(1/x)]dx: x 4 /4 x³/6 x 4 /8 x³/3 x 4 /6

The equation of the circle that passes through (5,3) and is tangent to the abscissa axis at x=2 is a.(x-2)^2 (y 3)^2 = 9 b.(x-2)^2 (y-3)^2 = 9 c.(x-2)^2 (y-3)^2 = 4 d.(x-2)^2 (y 1)^2 = 4 e.(x-2)^2 (y-1)^2 = 4

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.

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 warehouse employs 23 workers on first shift, 19 workers on second shift, and 12 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing exactly five first -shift workers.

28 is 92 percent of what?

Given (3x+2)E [2;14] how much money (in soles) does Sophia have if numerically it is the greatest value of x?

TEST 123123+1236ttttt

Two minus log 3X equals log (X over 12)

The population of Pittsburgh, Pennsylvania, fell from 520,117 in 1970 to 305,704 in 2010. Write an exponential function P(t) modeling the population t years after 1970. Round the growth factor to the nearest tem thousandth.

Solve equations by equalization method X-8=-2y 2x+y=7

A cell phone company offers two calling plans. Plan A: $20 per month plus 5 cents for each minute, or Plan B: $30 per month plus 3 cents for each minute. [2] Write an equation to describe the monthly cost (a) C (in $) in terms of the time m (in minutes) of phone calls when Plan A is applied.

factor the polynomial completely over the set of complex numbers b(x)=x^4-2x^3-17x^2+4x+30

Consider mixing 150 ml, 0.1M, HCI with 100 ml, 0.2M, KOH solution. Determine the pH of final solution.

the product of a 2-digit number and a 3-digit number is about 50000, what are these numbers

Determine the general solution of the equation y′+y=e−x .