Mathematics, 08.12.2019 21:31 Hunter1471

Explain step by step plz.

a cafe only sells two types of sandwiches, turkey and steak. the cafe charges $4 for turkey sandwiches and $6 for steak sandwiches. last month, the cafe sold a total of 925 sandwiches. the cafe sold $4524 worth of sandwiches.

how many turkey sandwiches did they sell?

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Answer from: kingofguns2826

Number of turkey sandwiches sold is 513

Solution:

Given that cafe sells turkey sandwiches and steak sandwiches

Let "t" be the number of turkey sandwiches sold

Let "s" be the number of steak sandwiches sold

Cost of 1 turkey sandwiches = $ 4

Cost of 1 steak sandwiches = $ 6

Also given that Last month, the cafe sold a total of 925 sandwiches

So, we can frame a equation as:

number of turkey sandwiches sold + number of steak sandwiches sold = 925

t + s = 925 ---- eqn 1

Also given that cafe sold $4524 worth of sandwiches

So, we can frame a equation as:

number of turkey sandwiches sold x Cost of 1 turkey sandwiches + number of steak sandwiches sold x Cost of 1 steak sandwiches = $ 4524

$t \times 4 + s \times 6 = 4524$

4t + 6s = 4524 --- eqn 2

Let us solve eqn 1 and eqn 2 to get values of "s" and "t"

Multiply eqn 1 by 4

4t + 4s = 3700 --- eqn 3

Subtract eqn 3 from eqn 2

4t + 6s = 4524

4t + 4s = 3700

( - ) ------------------------

2s = 824

s = 412

Substitute s = 412 in eqn 1

t + s = 925

t + 412 = 925

t = 925 - 412

t = 513

Thus the number of turkey sandwiches sold is 513

Answer from: Quest

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

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