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A glass is
4
7
full. Then 70cm3 of orange juice is poured in.
The glass is now
3
4
full. What is the total volume of the glass?

Sagot :

jcherry99

Answer:

Step-by-step explanation:

4/7 x + 70 cm^3 = 3/4 x          Subtract 4/7 x from both sides

3/4 x - 4/7 x = 70 cm^3          The lowest common denominator is 28

[tex]\frac{3*7*x}{4*7} - \frac{4*4x}{4*7} = 70 cc\\\frac{21*x}{28} - \frac{16*x}{28} = 70 cc\\\frac{5x}{28}= 70cc\\[/tex]

5x = 70*28

5x = 1960                                Divide by 5

x = 1960/5

x = 392 cc

mhanifa

Answer:

  • 392 cm³

Step-by-step explanation:

The difference of 3/4 and 4/7 of the volume is 70 cm:

  • 3/4 - 4/7 = 7/7*3/4 - 4/4*4/7 = 21/28 - 16/28 = 5/28

5/28 of the volume is 70 cm³

Divide both numbers by 5/28 to find the total volume of the glass:

  • 70 : 5/28 = 70*28/5 = 392 cm³
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