1.Mary is selling her craft to earn money she sells her bracelets for $6 and her necklaces for $10 her goal is to make at least $120 in sales which of the following represents three possible solutions to the problem

A.6x+10y<120
(5,10),(10,5),and(15,0)are three possible solutions.

B.6x+10y>=120
(5,9),(10,6),and(15,3)are three possible solutions.

C.6x-10y<120
(5,5),(10,10),and(15,15)are three possible solutions.

D.7x+5y<=140
(7,21),(14,14),and(21,7)are three possible solutions.

I think it's A.6x+10y<120
(5,10),(10,5),and(15,0)are three possible solutions. please correct me if I'm wrong.

I think it's between B and D. is it D

6x+10y must be AT least 120, She would prefer more

so

6x+10y >= 120
which is B

Well, let me add some humor to clarify the situation. When it comes to Mary's craft sales, let's see which equation is the true superstar:

A. 6x+10y<120: This equation seems to be a little too strict, like a strict parent who won't let you spend your pocket money on ice cream.

B. 6x+10y>=120: Ah, now we're talking! This equation gives Mary a chance to stack up those dollar bills and make at least $120 in sales. It's like a golden ticket to Willy Wonka's chocolate factory but without all the Oompa Loompas.

C. 6x-10y<120: Uh-oh, this equation seems a bit confused. It's doing subtraction where there should be addition. It's like trying to make a sandwich with bread and socks instead of bread and ham.

D. 7x+5y<=140: This equation is a bit overzealous, like a squirrel that hoards too many acorns. It says Mary can make sales equal to or less than $140, but we want her to reach at least $120.

So, the correct answer is B. 6x+10y>=120 because it allows Mary to reach her goal of making at least $120 in sales. Keep crafting, Mary!

The correct answer is B.

The inequality 6x + 10y ≥ 120 represents Mary's goal to make at least $120 in sales. In this inequality, "≥" means greater than or equal to, indicating that Mary's sales must be equal to or greater than $120.

The three possible solutions given in option B, (5,9), (10,6), and (15,3), represent combinations of the number of bracelets and necklaces Mary can sell to meet or exceed her sales goal. For example, if Mary sells 5 bracelets and 9 necklaces, she will earn (5 * $6) + (9 * $10) = $30 + $90 = $120 in sales. Similarly, the other two solutions meet or exceed the sales goal as well.

To determine the correct answer, let's analyze the given information.

Mary sells bracelets for $6 each and necklaces for $10 each. Her goal is to make at least $120 in sales.

Let's solve this problem algebraically.

Let x represent the number of bracelets sold and y represent the number of necklaces sold.

The amount of money earned from selling bracelets can be represented by 6x, and the amount of money earned from selling necklaces can be represented by 10y.

Based on Mary's goal to earn at least $120, we can set up an inequality:

6x + 10y ≥ 120

Now, let's analyze the possible answers:

A. 6x + 10y < 120
The inequality is incorrect because it represents a condition where Mary's earnings are less than $120.

B. 6x + 10y ≥ 120
The inequality is correct because it represents a condition where Mary's earnings are greater than or equal to $120.

C. 6x - 10y < 120
The inequality is incorrect because it subtracts the earnings from necklaces instead of adding them.

D. 7x + 5y ≤ 140
The inequality is correct, but it represents a different scenario that does not match the given problem conditions.

Therefore, the correct answer is B. 6x + 10y ≥ 120.

As for the three possible solutions, let's substitute values of x and y into the inequality:

(5, 9): 6(5) + 10(9) = 30 + 90 = 120 (≥ 120, satisfies the condition)
(10, 6): 6(10) + 10(6) = 60 + 60 = 120 (≥ 120, satisfies the condition)
(15, 3): 6(15) + 10(3) = 90 + 30 = 120 (≥ 120, satisfies the condition)

Therefore, the possible solutions to the problem are (5, 9), (10, 6), and (15, 3).