Write a system of equations to describe the situation. Then solve the system. Be sure to define your variables
Rizzo has $1.50 less in his piggy bank than his sister Shonda. If Shonda had $9 more, she would have three times as much money as Rizzo. How much money do each of the children have in their banks?

Shonda has ( x )dollars in her piggy bank.

Rizzo has ( x-1.50 )

if Shonda has $9 more than x; (x+9),would be equal to

3 times the dollars Rizzo has, or, 3(x-1.50). The two quantities are equal, we can solve for x.

x+9 = 3(x-1.50)

Dustribute the 3

x+9 = 3x - 4.50

Isolate the variable on the left and constants on the right of the equation by subtracting 3x and 9 from both sides.

x+9 = 3x - 4.50

-3x-9 = -3x - 9

-2x = - 13.50

Divide both sides by - 2

Shonda has; x = 6.75

Rizzo has; (6.75 - 1.50) = 5.25

6.75 + 9 = 3(6.75 - 1.50)

15.75 = 3(5.25) or 15.75.

Passes the check.

Shonda has $6.75 in her piggy bank and Rizzo has $5.25.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d