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The fruit punch recipe said that 6/10 L of orange mixed with 3/8 L of Strawberry, 1/5 L of mango, 2/6 L of papaya and 1/4 L of lemon.(A) How much volume of fruit punch resulted from recipe? .At the beginning, stocks are 4 6/8 L of orange, 2 4/5 L of strawberry, 3/4 L of mango and 1 5/8 L of Lemon. (B) How much those fruits are left?

User GlennS
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4 votes

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

User Sowdri
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