A beverage company makes 100 percent sign cranapple juice, which is made up of 1 3 over 4 parts of cranberry juice to 5 1 fourth parts of apple juice, with no other ingredients. How much apple juice is in 56 fluid ounces of cranapple juice? (Assume each part is one fluid ounce.)
1.75 cranberry/ 5.25 apple
1.75 + 5.25 = 7 total
so fraction that is apple is 5.25/7
(5.25 / 7) * 56 = 42 oz apple
35
To find out how much apple juice is in 56 fluid ounces of cranapple juice, we need to determine the ratio of cranberry juice to apple juice in each fluid ounce of cranapple juice.
The ratio given is 1 3/4 parts of cranberry juice to 5 1/4 parts of apple juice. To simplify the calculation, we can convert these mixed numbers to improper fractions:
1 3/4 = (4 * 1 + 3) / 4 = 7/4
5 1/4 = (4 * 5 + 1) / 4 = 21/4
Now, the total parts of the mixture is 7/4 + 21/4 = 28/4 = 7.
Since each part represents one fluid ounce, we can divide 56 fluid ounces by the total parts to determine the amount of apple juice in 56 fluid ounces of cranapple juice:
Amount of apple juice = (56 fluid ounces) * (21/4 parts of apple juice / 7 total parts)
= 56 * 21/4 / 7
= (56 * 21) / (4 * 7)
= 1176 / 28
= 42 fluid ounces
Therefore, there are 42 fluid ounces of apple juice in 56 fluid ounces of cranapple juice.