### GMAT Practice Question Source:

**GMAT Official Guide Quant Review 2019**#225**GMAT Official Guide Quant Review 2018**#223**GMAT Official Guide Quant Review 2017**#222

### Difficulty: 700-Level

### GMAT Study Guide Module:

### GMAT Timing Tips:

**Use smart variables to represent unknowns**: There are a variety of ways to set the question up, but you could consider doing it with up to 4 variables: T = tax (what we are solving for), P = total pretax price, R = number of regular pencils, D = number of deluxe pencils. I often recommend to students that they use more variables than they think they need to, if that helps them to see more clearly what is happening in the question.**Systems of linear equations**: Using the above variables, you can get the following equations from the question itself:- P = 0.03R + 0.05D
- D = 1.5R
- P + T = 44.10

If we notice that these are 3 unique linear equations for 4 variables, we know that we could definitely solve for all 4 variables if we were given another unique linear equation. Each statement is sufficient, because each statement provides a 4th unique linear equation:

- Statement 1: T = 0.05P (actually, this can be combined with the third equation above to form a system of 2 linear equations for 2 variables)
- Statement 2: R = 400

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**GMAT Club**: See the full question and ask your question in this thread: In a certain order, the pretax price of each regular pencil was $0.03…