Amanda, Henry, and Scott have a total of $89 in thier wallets. Amanda has 6$ less than Scott. Henry has 3 times what scott has. How much does each have?
Solution
Let x be the amount of money Amanda has
Let y be the amount of money Henry has
Let z be the amount of money Scott has
Amanda, Henry, and Scott have a total of $89 in thier
wallets
The above statement gives the following equation
x + y + z = 89
Amanda has 6$ less than Scott
The above statement gives the following equation
x = z - 6
Henry has 3 times what scott has.
The above statement gives the following equation
y = 3z
We get the following 3 equations
x + y + z = 89 equation 1
x = z - 6 equation 2
y = 3z equation 3
Replace x = z - 6 and y = 3z in equation 1
z - 6 + 3z + z = 89
5z - 6 = 89
5z - 6 + 6 = 89 + 6
5z = 95
Divide both sides by 5
5z/ 5 = 95 / 5
z = 19
Scott has 19 dollars
y = 3z = 3 × 19 = 57
Henry has 57 dollars
z - 6 = x
19 - 6 = x
13 = x
Amanda has 13 dollars
Mar 13, 19 11:50 AM
Learn how to derive the equation of an ellipse when the center of the ellipse is at the origin.
Basic math formulas
Algebra word problems
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.
Recommended
Scientific Notation Quiz
Graphing Slope Quiz
Adding and Subtracting Matrices Quiz
Factoring Trinomials Quiz
Solving Absolute Value Equations Quiz
Order of Operations Quiz
Types of angles quiz
Mar 13, 19 11:50 AM
Learn how to derive the equation of an ellipse when the center of the ellipse is at the origin.