SOLUTION: A painter bought some paint for $500.He paid $x for each litre of paint. (a) Find, in terms of x, an expression for the number of litres of paint that he bought. (b) He accidenta

Algebra ->  Equations -> SOLUTION: A painter bought some paint for $500.He paid $x for each litre of paint. (a) Find, in terms of x, an expression for the number of litres of paint that he bought. (b) He accidenta      Log On


   

Question 1057146: A painter bought some paint for $500.He paid $x for each litre of paint.
(a) Find, in terms of x, an expression for the number of litres of paint that he bought.
(b) He accidentally spilled 5 litres of paint. He sold the remainder of the paint for $2 per litre more than he paid for it. Write down an expression, in terms of x, for the sum of money he received.
(c) He made a profit of $40. Write down an equation in x to represent the information and show thatit reduces to x^2 + 10x - 200 = 0
(d) Solve the equation x^2 + 10x - 200 = 0 and find the value of x
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
500%2Fx, volume of paint bought, in liters. Turn the units the right way and that's what you have.

Spilled 5 liters;
500%2Fx-5, volume the painter now has.
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Sells that for $2 per liter more than he paid;
%28500%2Fx-5%29%28x%2B2%29%28liters%29%28dollars%2Fliter%29
The sum of money taken as this revenue was %28500%2Fx-5%29%28x%2B2%29%28dollars%29.
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Profit was $40.
revenue-cost=profit.
highlight_green%28%28500%2Fx-5%29%28x%2B2%29-500=40%29;
work with that and see what it becomes.