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First dispensed is 1/3 of a quart, later 1/4and then you dispensed 3 1/2 quarts. What’s the total volume that is dispensed

2 Answers

3 votes

Final answer:

To calculate the total volume of liquid dispensed, first convert all measurements to the same unit, then add them together. The total volume dispensed in ounces is 130.67, which is approximately 4.08 quarts when converted back.

Step-by-step explanation:

To find the total volume dispensed after first dispensing 1/3 of a quart, then 1/4 of a quart, and finally 3 1/2 quarts, we need to ensure all quantities are in the same unit. Since we are working with quarts, let's convert the dispensed volumes to ounces since there are 32 ounces in a quart. This will make it easier to add them together.

First dispense: 1/3 quart is equivalent to (1/3) × 32 ounces = 10.67 ounces (approximately).

Second dispense: 1/4 quart is equivalent to (1/4) × 32 ounces = 8 ounces.

Third dispense: 3 1/2 quarts is equivalent to 3.5 × 32 ounces = 112 ounces.

Add all the dispensed ounces together: 10.67 ounces + 8 ounces + 112 ounces = 130.67 ounces.

Therefore, the total volume dispensed is 130.67 ounces, which can be converted back to quarts if necessary by dividing by 32. 130.67 ounces ÷ 32 is approximately 4.08 quarts.

User Maths Noob
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7 votes

Answer:4 1/12.

Step-by-step explanation: First, you add 3 and a half with a quarter. A half equals two quarters so it equals 3 and 3/4. Then, you add 3 3/4 with 1/3. A common denominator here is 12. 3/4 times 3/3 = 9/12. 1/3 times 4/4 = 4/12. 9+4 = 13. The answer is more than one so we carry and get 4 and 1/12.

User Pstryk
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