Question: You are searching for 7 hidden Internet boxes. You have just found the first box. Clues to finding the remaining boxes depend upon your ability to solve Basic Math problems relating to the topic of Ratios and Proportions. Good luck!
Solve the following 4 problems:
1. A graphic designer can customize 6 skateboards in 2 weeks. At this rate, how many skateboards can he customize in 5 weeks?
2. All of the wrapping machines at a factory run at the same rate. Together, 20 machines wrap 640 candy bars per minute. At this rate, how many candy bars can be wrapped by 15 machines in 6 minutes.
3. A car averages 50 miles per hour. At this average rate, how far will the car travel in 15 minutes?
4. You drink half of a 20 ounce bottle in 2/3 of an hour. At this rate, how many ounces of water do you drink in an hour?
Graph/shape: a large white rectangular box centered on the page contains problems 1–4; position_hint=center.
Read carefully!!
Find the sum of the answers to questions #1 and #2. Multiply the result by the product of the answers to questions #3 and #4. Place this value in the address below (following the letters "RP"), and type the address into your browser to find the next hidden box.
http://JrMathBits.com/JrGames/CA/RP________.html
1. **Problem 1:** A graphic designer customizes 6 skateboards in 2 weeks. How many in 5 weeks?
- Formula: $$\text{Rate} = \frac{\text{Quantity}}{\text{Time}}$$
- Rate of skateboards per week: $$\frac{6}{2} = 3$$ skateboards/week
- Skateboards in 5 weeks: $$3 \times 5 = 15$$ skateboards
2. **Problem 2:** 20 machines wrap 640 candy bars per minute. How many candy bars do 15 machines wrap in 6 minutes?
- Rate per machine per minute: $$\frac{640}{20} = 32$$ candy bars/machine/minute
- Total candy bars by 15 machines in 6 minutes: $$32 \times 15 \times 6 = 2880$$ candy bars
3. **Problem 3:** A car averages 50 miles per hour. How far in 15 minutes?
- Convert 15 minutes to hours: $$\frac{15}{60} = \frac{1}{4}$$ hour
- Distance: $$50 \times \frac{1}{4} = 12.5$$ miles
4. **Problem 4:** You drink half of a 20 ounce bottle in $$\frac{2}{3}$$ hour. How many ounces per hour?
- Amount drunk in $$\frac{2}{3}$$ hour: $$\frac{1}{2} \times 20 = 10$$ ounces
- Rate per hour: $$\frac{10}{\frac{2}{3}} = 10 \times \frac{3}{2} = 15$$ ounces/hour
5. **Final calculation:**
- Sum of answers to #1 and #2: $$15 + 2880 = 2895$$
- Product of answers to #3 and #4: $$12.5 \times 15 = 187.5$$
- Multiply sum by product: $$2895 \times 187.5 = 542812.5$$
**Final answer:** $$542812.5$$
This value goes in the address after "RP".