Answer:
Explanation:
To find the volume of fruit punch resulting from the recipe, we need to add up the volumes of the different fruits. Let's calculate it step by step:
(A) Calculating the volume of fruit punch resulting from the recipe:
Volume of orange: 6/10 L
Volume of strawberry: 3/8 L
Volume of mango: 1/5 L
Volume of papaya: 2/6 L
Volume of lemon: 1/4 L
To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 10, 8, 5, 6, and 4 is 120.
Converting the fractions to have a common denominator of 120:
Volume of orange: (6/10) * (12/12) = 72/120 L
Volume of strawberry: (3/8) * (15/15) = 45/120 L
Volume of mango: (1/5) * (24/24) = 24/120 L
Volume of papaya: (2/6) * (20/20) = 40/120 L
Volume of lemon: (1/4) * (30/30) = 30/120 L
Now we can add up the volumes:
Volume of fruit punch = (72/120) + (45/120) + (24/120) + (40/120) + (30/120)
= (72 + 45 + 24 + 40 + 30) / 120
= 211/120 L
So the volume of fruit punch resulting from the recipe is 211/120 L.
(B) Calculating the remaining volume of each fruit:
Initial stock of orange: 4 6/8 L = 38/8 L
Initial stock of strawberry: 2 4/5 L = 14/5 L
Initial stock of mango: 3/4 L
Initial stock of lemon: 1 5/8 L = 13/8 L
To calculate the remaining volume, we subtract the volume used in the recipe from the initial stock:
Remaining volume of orange = Initial stock of orange - Volume of orange
= (38/8) - (72/120)
= (570/120) - (72/120)
= (498/120) L
Remaining volume of strawberry = Initial stock of strawberry - Volume of strawberry
= (14/5) - (45/120)
= (336/120) - (45/120)
= (291/120) L
Remaining volume of mango = Initial stock of mango - Volume of mango
= (3/4) - (24/120)
= (90/120) - (24/120)
= (66/120) L
Remaining volume of lemon = Initial stock of lemon - Volume of lemon
= (13/8) - (30/120)
= (156/120) - (30/120)
= (126/120) L
So the remaining volumes of the fruits are as follows:
Orange: 498/120 L
Strawberry: 291/120 L
Mango: 66/120 L
Lemon: 126/120 L