Eric is baking a cake. The recipe calls for 2 1/2 pounds of flour for every 1/4 cups of sugar. How many pounds of flour should Eric use for 1 cup of sugar?
To calculate this, we first need to figure out how many 1/4 cups are in 1 cup.
1 cup is equal to 4 1/4 cups.
Now, since the recipe calls for 2 1/2 pounds of flour for every 1/4 cups of sugar, we can set up a proportion:
2 1/2 pounds / 1/4 cup = x pounds / 1 cup
To solve for x, we first convert the mixed number 2 1/2 to an improper fraction:
2 1/2 = 5/2
Now, we can set up the proportion:
5/2 pounds / 1/4 cup = x pounds / 1 cup
Cross multiply to solve for x:
5/2 * 4 = x
10 = x
Therefore, Eric should use 10 pounds of flour for 1 cup of sugar.
chen rode his skateboard for 3 3/4 miles in 3/4 of an hour. What was his average speed in miles per hour?
To find Chen's average speed in miles per hour, we need to divide the total distance he rode by the total time it took him.
Chen rode 3 3/4 miles in 3/4 of an hour.
To add the mixed number and the fraction, we need to find a common denominator. In this case, the common denominator is 4.
3 3/4 can be written as 15/4.
So, Chen rode 15/4 miles in 3/4 hours.
Now, divide the total distance by the total time to find the average speed:
Average Speed = Total Distance / Total Time
Average Speed = 15/4 miles / 3/4 hours
To divide fractions, we multiply by the reciprocal of the second fraction:
Average Speed = 15/4 miles * 4/3 hours
Average Speed = 15/3 miles
Average Speed = 5 miles
Therefore, Chen's average speed was 5 miles per hour.
Raphael went to the store and bought 2 1/2 pounds of chicken for $9.00. At this rate, how much would it cost for 1, 2, and 3 pounds of chicken?
1 pound costs:
2 pounds cost:
3 pounds cost:
To find the cost per pound of chicken, we need to divide the total cost by the total weight of the chicken purchased.
Raphael bought 2 1/2 pounds of chicken for $9.00.
To find the cost per pound:
Cost per pound = Total cost / Total weight
First, we need to convert the mixed number 2 1/2 to an improper fraction:
2 1/2 = 5/2
Now, we can find the cost per pound of chicken:
Cost per pound = $9.00 / 5/2 pounds
Cost per pound = $9.00 / 2.5 pounds
Cost per pound = $3.60
Therefore, the cost per pound of chicken is $3.60.
Now, we can calculate the cost for 1, 2, and 3 pounds of chicken.
1 pound costs:
1 pound * $3.60 = $3.60
2 pounds cost:
2 pounds * $3.60 = $7.20
3 pounds cost:
3 pounds * $3.60 = $10.80
Therefore, at the given rate, 1 pound of chicken would cost $3.60, 2 pounds would cost $7.20, and 3 pounds would cost $10.80.
Each of the scenarios below represents a unit rate that is either greater than 2 or less than 2. Drag each scenario into the box under its correct classification according to the unit rate.(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Unit Rate Less than 2 Unit Rate Greater than 2
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