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
Dec 11, 17 08:45 AM
Learn how to estimate fractions with this easy to follow lesson.
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.
Dec 11, 17 08:45 AM
Learn how to estimate fractions with this easy to follow lesson.
Our Top Pages
Formula for percentage
Compatible numbers
Basic math test
Basic math formulas
Types of angles
Math problem solver
Algebra word problems
Surface area of a cube
Finding the average
Scale drawings
Everything you need to prepare for an important exam!
K-12 tests, GED math test, basic math tests, geometry tests, algebra tests.
Real Life Math Skills
Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.