Need some help with two questions
1. 6.5% of what number is 325?
I got 325 ÷ 0.065 = 5000
Is that corrrect?
The minimum daily values (MDVs) for certain foods are given. They are based on a 2,000 calorie per day diet. Find decimal and fractional notation for the percent notation in each sentence.
1/2 cup of Campbells’ New England clam chowder provides 6% of the MDV of iron
1. Yes
2. 6% = 0.06 = 6/100 = 3/50
<< 6.5% of what number is 325?
I got 325 ÷ 0.065 = 5000
Is that corrrect? >>
would it not make sense to test your answer by taking .065 times 5000?
As to your second question, you should have learned method to change between
percent <--> decimal <---> fraction
eg. to change a decial to a percent, move the decimal two places to the right, then add the percent sign, (0.125 = 12.5%)
there are 6 such conversions
make yourself a summary of them, then learn how and when to use them.
Let's go through each question step-by-step:
1. 6.5% of what number is 325?
To find the number, you can set up a proportion. Let "x" be the unknown number.
6.5% of x = 325
To solve this proportion, first convert 6.5% to a decimal by dividing it by 100:
0.065 of x = 325
Next, solve for "x" by dividing both sides of the equation by 0.065:
x = 325 ÷ 0.065 = 5000
Therefore, your calculation is correct, and the number is indeed 5000.
2. 1/2 cup of Campbell's New England clam chowder provides 6% of the MDV of iron.
To express the given percent notation in decimal form, divide 6 by 100:
6% = 0.06
To write this in fractional notation, simply express the decimal as a fraction:
0.06 = 6/100
Hence, in decimal form, the percent notation is 0.06, and in fractional form, it is 6/100.
Let's start with the first question:
To find 6.5% of a number, you can use the formula:
Part = Percentage * Whole
In this problem, the given percentage is 6.5%, and the part is 325. To find the whole number, you'll rearrange the formula and solve for the whole:
Whole = Part / Percentage
So, to find the whole number, you correctly divided 325 by 0.065, which is the decimal equivalent of 6.5%.
Once you performed the calculation, you got 5000 as the whole number. Therefore, your answer is correct.
Now, let's move on to the second question:
The sentence states that 1/2 cup of Campbells’ New England clam chowder provides 6% of the Minimum Daily Value (MDV) of iron.
To convert percent notation to decimal notation, divide the percentage by 100. In this case, 6% becomes 6/100, which simplifies to 0.06 in decimal form.
To convert percent notation to fractional notation, place the given percentage over 100. So, 6% becomes 6/100.
Therefore, the decimal notation for 6% is 0.06, and the fractional notation is 6/100.
I hope this helps! Let me know if you have any further questions.