Mathematics, 19.05.2020 15:59 masseyboy428

The students are doing a fundraiser to help out a friend. They are selling chocolate and cookies for $3 and $2.50 respectively. The cookies were presold to 60 people. At least how many of the chocolates must be sold to collect $255?

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Answer from: lucerogon7403

At least 18 chocolates sold to collect $225

Step-by-step explanation:

~ Let's say x ⇒ the number of chocolates, y ⇒ the number of cookies ~

1. We can see that the number of chocolates/ cookies * the cost of chocolates/cookies = the total cost of chocolates/cookies. Provided this, it would be that 3x and 2.5y would represent the cost of chocolates and cookies.

2. It is given that there was $225 sold from chocolates and cookies, so we can say that 3x + 2.5y = 225 from this assumption.

3. That being said it is also known that the cookies were sold to 60 people, so we can assume that 60 cookies were sold out, 1 were person. With this information we can see that 3x ⇒ 3 * 60 = 180 ⇒ cost of cookies sold

4. Now we can substitute this value of 3x into the equation 3x + 2.5y = 225, as such: 3x + 2.5y = 225 ⇒ 180 + 2.5y = 225, and now we can solve for y ~

180 + 2.5y = 225,

2.5y = 225 - 180,

2.5y = 45,

y = 45/2.5,

y = At least 18 chocolates sold to collect $225

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

Answer from: Quest

The answer is b) 32 your welcome

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