SOLUTION: Casper bought some pencils at 50 cents each. He had 3 dollars after the purchase. If he wanted to buy the same number of note pads at 80 cents each, he would be short $1.50. Write

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Casper bought some pencils at 50 cents each. He had 3 dollars after the purchase. If he wanted to buy the same number of note pads at 80 cents each, he would be short $1.50. Write       Log On


   



Question 1056994: Casper bought some pencils at 50 cents each. He had 3 dollars after the purchase. If he wanted to buy the same number of note pads at 80 cents each, he would be short $1.50. Write a linear equation for the number of pencils he purchased. Then solve it.
Answer by ikleyn(52786) About Me  (Show Source):
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Casper bought some pencils at 50 cents each. He had 3 dollars after the purchase. If he wanted to buy the same number
of note pads at 80 cents each, he would be short $1.50. Write a linear equation for the number of pencils he purchased. Then solve it.
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Your equation is this

50n + 300 = n*80 - 150.   (*)   (written in cents !)

The left part is described by these sentences: "Casper bought some pencils at 50 cents each. He had 3 dollars after the purchase."

The right part is this sentence: "If he wanted to buy the same number of note pads at 80 cents each, he would be short $1.50."

Now solve equation (*).

300 + 150 = 80n - 50n,   or

30n = 450,

n = 450%2F30 = 15.

Answer. Thus you found that the number of pencils is 15.