Ana mixes
2 quarts 1 pint of apple juice and 1 quart
3 cups of cranberry juice. Will her mixture
be able to fit in a l gallon pitcher? Explain.

The mixture will not fit 1-gallon pitcher

Step-by-step explanation:

Gallons, quarts, pints, cups, and fluid ounces (fl oz) is the unit for volume used by the US as standard volume measurement. Gallons is the biggest unit, equal to four quarts. One quart equal to 2 pints, and one pint equal to two cups.  

To solve this question, we need to convert the volume of the mixture that Ana makes, to see if it exceeds 1 gallon. The volume will be:  

total mixture volume = 2 quarts 1 pint + 1 quart 3 cups  

total mixture volume = 3 quarts + 1 pints +3 cups   --> 2 cups = 1 pint

total mixture volume = 3 quarts + 2 pints +1 cup  ---> 2 pints = 1 quarts

total mixture volume = 4 quarts +1 cup   -->4 quarts= 1 gallon

total mixture volume = 1 gallon +1 cup  

The mixture will not fit 1-gallon pitcher since the total volume is 1 cup more than the pitcher.

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.