Question

Gracie, Mary, and Nancy each have a small collection of seashells. Gracie has 5 more than times the number of shells Mary has. Nancy has 1 more than times the number of shells Mary has. Gracie and Nancy have the same number of shells. If x is the number of shells Mary has, identify the equation that represents this situation and identify its solution.

Answer 1

Answer:

3/2 x +1 = 5/4x - 5

3/2 x+1 =5/4

x−5

Step 1: Subtract 5/4x from both sides.

3/2 x+1−5/4

x=5

4x−5−5/4x

1/4x+1=−5

Step 2: Subtract 1 from both sides.

1/4x+1−1=−5−1

1/4

x=−6

Step 3: Multiply both sides by 4.

4*(1/4x)=(4)*(−6)

x=−24 Mary has 24 shells

Answer:

-x=−24

x = 24 shells

Step-by-step explanation:

1.   2 3/4 x 16 = 44 + 6 = 50 shells   x= 16    

2 3/4 x 24 = 66 + 6 = 72 x = 24

We see the side workings in bold as if Mary has 24 and Nancy has 1x more

Then Nancy 24+24 = 48 where Gracie 5 x 24 = 120 and we have 72-48 = 24 and 120-72 = 48 being the same as Nancy. You can ignore or check the rest in explanation.

                           2 3/4 x 18 = 49 1/2 + 6 = 55 1/2  x= 18

2.  2 3/4 x 16 = 44 -4 = 40 shells  x = 16  2 3/4 x 24 = 66 - 4 = 62   x = 24

                            2 3/4 x 18 = 49 1/2 - 4 = 45 1/2   x = 18

3.   2  3/4 x 16 = 44 + 4 = 48 shells x = 16  2 3/4 x 24 = 66 + 4 = 70  x = 24                

2 3/4 x 18 = 49 1/2 + 4 =53 1/2  x = 18

Answer 2

Answer:

x = 18

Step-by-step explanation: