# Tutor profile: John-paul M.

## Questions

### Subject: Geometry

Darryl is wrapping a giant teddy bear for his toddler brother in a gift box for Christmas. The box is 12 feet tall, six feet wide, and eight feet long. How much wrapping paper will he need to completely cover the box?

1. Set up a surface area equation: SA = 2(lw + wh + hl). SA represents the surface area of the box; l, the length; w, the width; and h, the height. 2. Substitute the variables with the numbers mentioned in the word problem: SA = 2[8(6) + 6(12) + 12(8)]. 3. Using the order of operations, multiply the terms in the inner parentheses. 8 x 6 = 48, 6 x 12 = 72, and 12 x 8 = 96. 4. Add the terms in parentheses. 48 + 72 + 96 = 216. 5. Multiply the above sum by two. 216 x 2 = 432. 6. Attach the units. Multiplying feet by feet results in square feet, so 432 becomes 432 square feet. Answer: Darryl needs 432 square feet of wrapping paper to completely cover the gift box.

### Subject: Pre-Algebra

Kyle wants to buy a $500 laptop computer, but he only has $200 in his bank account. He works as a tutor on weekends, earning $30 per session. Write a formula representing this situation and calculate the number of weeks it will take for Kyle to buy the laptop. Let t represent the time in weeks.

1. Write a formula representing the situation: 200 + 30t = 500. 2. Subtract 200 on both sides. 500 - 200 = 300, and 200 - 200 = 0. So 30t = 300. 3. Divide by 30 on both sides. 30t ÷ 30 = t, and 300 ÷ 30 = 10. So t = 10. Answer: It will take 10 weeks for Kyle to buy the laptop.

### Subject: Basic Math

Brenda has saved $100 to spend on birthday gifts for her daughter Brianna. Brianna enjoys reading, and her birthday wish is to own as many books as possible. Brenda decides to visit a bookstore a children’s book cost $7. How many books can Brenda buy with the $100 she has?

1. Set up a long division problem: 100 ÷ 7 = ? 2. Since 7 can go into 10 once (and 7 x 1 = 7), subtract 7 from 10 to get 3, drag down the second 0 in 100, and place a 1 on top of the first 0. 3. Since 7 can go into 30 four times (and 7 x 4 = 28), subtract 28 from 30 to get the remainder, 2, and place a 4 on top of the second 0. 4. The quotient is 14, remainder 2. Answer: Brenda can buy 14 books with the $100 she has.

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