SOLUTION: Mr Gorman spent $18 on some paintbrushes and colored pencils. He bought 4 times as many colored pencils as paintbrushes. Each paintbrush cost $3 and and each colored pencil cost $0
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Question 730004: Mr Gorman spent $18 on some paintbrushes and colored pencils. He bought 4 times as many colored pencils as paintbrushes. Each paintbrush cost $3 and and each colored pencil cost $0.75. How many colored pencils did Mr. Gorman buy? Found 3 solutions by lynnlo, ikleyn, timofer:Answer by lynnlo(4176) (Show Source):
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Mr. Gorman spent $18 on some paintbrushes and colored pencils.
He bought 4 times as many colored pencils as paintbrushes.
Each paintbrush cost $3 and each colored pencil cost $0.75.
How many colored pencils did Mr. Gorman buy?
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This problem ideally suits to be solved mentally.
In accordance with the problem, we can group colored pencils and paintbrushes in sets,
each containing 4 colored pencils and one paintbrush.
Every such group costs 4*0.75 + 3 = 6 dollars, giving the total of 18 dollars.
Hence, the number of such groups is 18/6 = 3.
Hence, the number of colored pencils was 4*3 = 12. ANSWER
Solved.
You can do algebra in the same way - it will lead you to the same answer.