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jivsf
25.01.2021 •
Mathematics
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?
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Ответ:
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.
Ответ: