# Tutor profile: Christen D.

## Questions

### Subject: Pre-Algebra

A 12-pack of pens costs 15 dollars. How much would 36 pens cost?

1. Determine how many packs would need to be purchased in order to have 36 pens: 36/12 = 3 packs 2. Multiply the number of packs by the cost of each pack: 3*15 = 45 ANSWER: 45 dollars

### Subject: Basic Math

A triangle has a base length of 6 in and a height 4 in, what is the area?

1. Determine values: base = 6 in height = 4 in 2. Plug values into area equation: Area of a triangle = 1/2(base * height) 1/2(6*4) = 12 in^(2) ANSWER: 12 inches squared

### Subject: Algebra

500 people attend the opening day of an amusement park. Ticket prices are $8 for children and $10 for adults. If total revenue for both is $4082, how many children and adults attended the event?

1. Model with equations: x = number of adults y = number of children x+y = 500 10x+8y = 4082 2. Solve through systems of equations: (elimination method, multiple first equation by -10 to eliminate x variable) -10x-10y = -5000 10x+8y = 4082 3. Add equations together and solve for y: -2y = -918 y= 459 4. Plug y value back into the first equation and solve for x: x+459= 500 x=41 ANSWER: 41 adults and 459 children

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