please hel me to solve the following application.
Crafts. Mark uses 1 pt 9 fl oz and then 2 pt 10 fl oz from a container of film developer that holds 3 qt. How much of the developer remains?
Is this US liquid measures?
There are 16 fluid ounces to the pint, and 2 pints to the quart.
Yes, in US liquid measures, there are 16 fluid ounces in a pint and 2 pints in a quart.
To solve this problem, we need to convert the given amounts of film developer into quarts.
First, let's convert 1 pt 9 fl oz into quarts.
1 pint is equivalent to 1/2 quart (since there are 2 pints in a quart).
9 fluid ounces is equivalent to 9/16 of a pint (since there are 16 fluid ounces in a pint).
So, 1 pt 9 fl oz is equal to (1/2) + (9/16) quarts.
Next, let's convert 2 pt 10 fl oz into quarts.
2 pints is equivalent to 1 quart (since there are 2 pints in a quart).
10 fluid ounces is equivalent to 10/16 of a pint (since there are 16 fluid ounces in a pint).
So, 2 pt 10 fl oz is equal to 1 quart + (10/16) quarts.
Adding the values together:
(1/2) + (9/16) + 1 + (10/16)
Now, we can simplify and calculate the total amount of film developer used:
(1/2) + (9/16) + 1 + (10/16) = 8/16 + 9/16 + 16/16 + 10/16 = 43/16 quarts
Since the film developer container holds 3 quarts, we can subtract the amount used from the total capacity to find out how much remains:
3 - 43/16 = (48/16) - (43/16) = 5/16 quarts
Therefore, there are 5/16 quarts of film developer remaining in the container.