You have a large container of olive oil. You have used 22 1/2 quarts of oil. Twenty-five percent of the olive oil remains. How many quarts of olive oil remain?
22.5 quarts = .75 (total)
total = 22.5/.75
we have .25 * total
so we have .25 * 22.5/.75
=22.5/3
= 7.5
22.5 / 0.75 = x / 0.25
Cross multiply and solve for x.
0.75x = 22.5
x = 22.5 / 0.75
x = 30.4 gallons is the capacity of the container
30.4 - 22.5 = _______ remaining quarts
Thank you so much but can you please put it in with the proportion set up? I just learned this from school and my teacher wants me to write the proportion set up for extra credit and I do not know how :/
I got 8.3?
22.5 / 0.75 = x / 0.25
0.75x = 0.25 * 22.5
0.75x = 5.62
x = 5.625 / 0.75
x = 7.5
Why is 5.626 divided by 7.5
Because you have to divide my your quofficent
To find out how many quarts of olive oil remain, we need to calculate 25 percent of the total amount of olive oil.
1. Start with the amount of olive oil used: 22 1/2 quarts
2. Since 25% is equivalent to 1/4, we divide 22 1/2 by 4 to find out how much one quarter is: 22 1/2 ÷ 4 = 5 5/8 quarts
3. Now, to find out how many quarts remain, we subtract the amount used from the total: Total amount - Amount used = Remaining amount
Remaining amount = 22 1/2 - 5 5/8
To subtract these mixed fractions, we need to convert them into improper fractions:
22 1/2 can be written as 45/2 (multiply 22 by 2 and add 1 to get the numerator, and keep the same denominator).
5 5/8 can be written as 45/8 (multiply 5 by 8 and add 5 to get the numerator, and keep the same denominator).
Now, we subtract the improper fractions:
Remaining amount = 45/2 - 45/8
To subtract fractions, we need to find a common denominator, which in this case is 8.
Multiplying the numerator and denominator by 4 for the first fraction (45/2) and multiplying the numerator and denominator by 2 for the second fraction (45/8) gives us:
Remaining amount = (45 * 4) / (2 * 4) - (45 * 2) / (8 * 2)
= 180/8 - 90/16
Next, subtract the fractions:
Remaining amount = (180 - 90) / 8 - 90 / 16
= 90 / 8 - 90 / 16
= (90 * 2) / (8 * 2) - 90 / 16
= 180 / 16 - 90 / 16
= (180 - 90) / 16
= 90 / 16
Finally, we can simplify the fraction if possible:
90/16 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:
90 ÷ 2 / 16 ÷ 2 = 45/8
Therefore, 45/8 quarts of olive oil remain.