Sunday, February 21, 2010

2 cans of paint and 1 roller for $30 bought 3 more cans and 2 more rollers for $50. How much did 1roller cost?

To paint his house, Samuel bought 2 cans of paint and one roller for $30. When friends came over to help, he went back to the store and bought three more cans of paint and two more rollers for $50. How much did he pay for a roller?





dollars per roller =?2 cans of paint and 1 roller for $30 bought 3 more cans and 2 more rollers for $50. How much did 1roller cost?
Let x = cans of paint, y = rollers





2x + y =30


3x +2y = 50





I will solve using the substitution method


y = 30 - 2x





3x + 2(30-2x) = 50


3x +60 - 4x = 50


-x = -10


x = 10





2x + y =30


2(10) + y =30


20 + y = 30


y = 10 dollars for one roller2 cans of paint and 1 roller for $30 bought 3 more cans and 2 more rollers for $50. How much did 1roller cost?
well each can cost 10$ and each roller 10$





because 2 cans + 1 roller = 30$ ( so 20$ for cans and 10$ for roller )





and he bought 3 cans + 2 rollers = 50$ ( so 30$ for cans and 20$ for rollers )





hope i helped
let x=cans of paint


let y=rollers





2x+y=30 for 2 cans of paint and 1 roller


3x+2y=50 for 3 cans of paint and 2 rollers





then just solve the top equation for y and substitute y in the second equation





you end up with x=10 and y=10
A can of paint could = $10 and


A roller could also cost $10
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