SOLUTION: Define a variable and write algebraic expressions for each of the given quantities. Then, answer the question by writing and solving an equation. Three brothers spent differ

Algebra.Com
Question 918718: Define a variable and write algebraic expressions for each of the given quantities. Then, answer the question by writing and solving an equation.

Three brothers spent different amounts of money on their recent vacation. Matt spent $25 less than Todd. Jeff spent 3 times as much as Matt. How much did each brother spen if they spent a total of $275.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
x is Todd's amount
x + (x-25) + 3(x-25) = $275
5x = 375
x = $75, Todd's amount
And...checking
Todd + Matt + Jeff
$75 + $50 + $150 = $275

RELATED QUESTIONS

The middle school dance team had 3 separate car washes on Saturday to raise money for new (answered by stanbon)
2. A chemist wishes to make 3 liters of a 7% acid solution by mixing a 9% acid solution... (answered by ewatrrr)
2. A chemist wants to make 4 liters of a 7% acid solution by mixing a 10% acid solution... (answered by josmiceli)
A chemist wants to make 4 liters of a 7% acid solution by mixing a 10% acid solution and... (answered by Alan3354)
A chemist wants to make 4 liters of a 7% acid solution by mixing a 10% acid solution and... (answered by Alan3354)
How do you define a variable? For example: Define a variable and write an algebraic... (answered by Earlsdon)
Define a variable and write an algebraic equation to model each situation. The total... (answered by nyc_function)
What is the cost of buying several shorts at $24.95 each? Define a variable and write an... (answered by nyc_function)