Jason works as an administrative assistant for a local lawyer's office. The office is running low on pens and notepads, so he is asked to buy $150 worth of pens and notepads. Pens cost $1, and notepads cost $2. If the number of pens he buys is represented by x and the number of notepads he buys is represented by y, the situation can be given by x + 2y = 150, where 0 ≤ x ≤ 150, 0 ≤ y ≤ 75 and x and y can take only integer values.

Question

Mathematics

Ashtyn

3 December, 10:01

Jason works as an administrative assistant for a local lawyer's office. The office is running low on pens and notepads, so he is asked to buy $150 worth of pens and notepads. Pens cost $1, and notepads cost $2. If the number of pens he buys is represented by x and the number of notepads he buys is represented by y, the situation can be given by x + 2y = 150, where 0 ≤ x ≤ 150, 0 ≤ y ≤ 75 and x and y can take only integer values.

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Jordon Morse · Answer 1

Case 1: Assuming that the stationery store is out of notepads, then y=0

x + 2y = 150

x = 150

Case 2: Assuming that the stationery store is out of pens, then x=0

x + 2y = 150

2y = 150

y = 75