1. How much money did the restaurant collect if all the cups of drink are sold? 2. James ran 2$\frac{1}{2}$ miles a day for 4 days in a park. He walked 983 yards a day for another... 1. How much money did the restaurant collect if all the cups of drink are sold? 2. James ran 2$\frac{1}{2}$ miles a day for 4 days in a park. He walked 983 yards a day for another 5 days. What is the total distance James ran and walked in yards?
Understand the Problem
The first question asks how much money a restaurant collected if all the cups of drink are sold. The second question asks for the total distance James ran and walked in yards, given he ran 2 1/2 miles a day for 4 days and walked 983 yards a day for 5 days. This requires converting miles to yards and summing the distances of running and walking.
Answer
b) \$864 18) 22515 yards
Answer for screen readers
b) The restaurant collected $864. 18) The total distance James ran and walked is $22515$ yards.
Steps to Solve
- Find the money collected by the restaurant
From the image, the money collected by the restaurant is $864.
- Calculate the total distance James ran in miles
James ran $2\frac{1}{2}$ miles a day for 4 days. First, convert the mixed number to an improper fraction: $2\frac{1}{2} = \frac{5}{2}$. Then multiply the distance per day by the number of days:
$ \frac{5}{2} \text{ miles/day} \times 4 \text{ days} = \frac{5 \times 4}{2} \text{ miles} = \frac{20}{2} \text{ miles} = 10 \text{ miles} $
- Convert the total running distance from miles to yards
Since 1 mile = 1760 yards, multiply the total miles by 1760 to get the distance in yards.
$ 10 \text{ miles} \times 1760 \text{ yards/mile} = 17600 \text{ yards} $
- Calculate the total distance James walked in yards
James walked 983 yards a day for 5 days. Multiply the distance per day by the number of days.
$ 983 \text{ yards/day} \times 5 \text{ days} = 4915 \text{ yards} $
- Calculate the total distance James ran and walked in yards
Add the total distance James ran in yards to the total distance he walked in yards.
$ 17600 \text{ yards} + 4915 \text{ yards} = 22515 \text{ yards} $
b) The restaurant collected $864. 18) The total distance James ran and walked is $22515$ yards.
More Information
Question B is read straight from the image Question 18 required a mixture of multiplication and unit conversion.
Tips
A common mistake is forgetting to convert the running distance from miles to yards before adding it to the walking distance in yards. Also, errors can occur in the multiplication steps, so careful calculation is needed.
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