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During the school sausage sizzle, a tank of orange juice sprang a leak. The teacher pours the remaining orange juice into a smaller container. The small container can hold three-quarters of the large tank. If the large tank is two-thirds full, what fraction of the small container does it fill?

Question

During the school sausage sizzle, a tank of orange juice sprang a leak. The teacher pours the remaining orange juice into a smaller container. The small container can hold three-quarters of the large tank. If the large tank is two-thirds full, what fraction of the small container does it fill?

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Solution

To solve this problem, we need to find out how much of the small container the orange juice from the large tank will fill.

Step 1: We know that the large tank is two-thirds full.

Step 2: We also know that the small container can hold three-quarters of the large tank.

Step 3: To find out how much of the small container the orange juice from the large tank will fill, we multiply the fraction of the large tank that is full (two-thirds) by the reciprocal of the fraction of the large tank that the small container can hold (four-thirds).

So, (2/3) * (4/3) = 8/9.

Therefore, the orange juice from the large tank will fill 8/9 of the small container.

This problem has been solved

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