Question

Four glass tumblers of equal volume are filled with water. The water in these glasses is in the ratio of 4: 5: 6: 10. The total volume of water in these glass tumblers is 50% of the total volume of these glass tumblers. How many glass tumblers are filled more than 40%?

Answer 1

Answer:

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Answer 2

Given:

Ratio of the water in the 4 tumblers = 4 : 5 : 6 : 10

Total amount of water = 50% of the total capacity

To Find:

How many glass tumblers are filled more than 40%

Solution

Find the total number of parts:

Ratio = 4 : 5 : 6 : 10

Number of parts = 4 + 5 + 6 + 10

Number of parts = 25

Find the percentage filled each part represent:

25 parts = 50%

1 part = 50 ÷ 25

1 part = 2% of the 4 tumblers

1 part = 2 x 4

1 part = 8% of 1 tumbler

Find the percentage of each tumbler is filled:

Tumbler 1 = 4 parts

Tumbler 1 = 4 x 8

Tumbler 1 = 32%

Tumbler 2 = 5 parts

Tumbler 2 = 5 x 8

Tumbler = 40%

Tumbler 3 = 6 parts

Tumbler 3 = 6 x 8

Tumbler 3 = 48% <-------------------- more than 40%

Tumbler 4 = 10 parts

Tumbler 4 = 10 x 8

Tumbler 4 = 80%  <-------------------- more than 40%

Answer: Tumbler 3 and 4 are more than 40% filled.