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A glass is 2/3 full. Then 40cm^3 of orange juice is poured in. The glass is now 4/5 full What is the total volume of the glass?
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A glass is 2/3 full. Then 40cm^3 of orange juice is poured in. The glass is now 4/5 full What is the total volume of the glass?
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Mathematics
5 years
2021-07-15T13:48:56+00:00
2021-07-15T13:48:56+00:00 1 Answers
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Answer:
The total volume of the glass is 300 cm^3.
Step-by-step explanation:
Let V represent the total glass volume.
Then (4/5)V – (2/3)V = 40 cm^3. The LCD here is 15, so we rewrite this equation as
(12/15)V – (10/15)V = 40 cm^3, or
(2/15)V = 40 cm^3.
Solve for V by multiplying both sides of this equation by (15/2):
(15/2)(2/15)V = (15/2)(40 = 300 cm^3
The total volume of the glass is 300 cm^3.