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Ophelie Ophelie
  • 05-07-2014
  • Mathematics
Answered

In a bag, there are red and blue cubes in the ratio 4:7.

Sam adds 10 more red cubes to the bag.

Now there are red and blue cubes in the ratio 6:7.

How many blue cubes are in the bag?

Verified Answer :

konrad509
konrad509 konrad509
  • 05-07-2014

x - red
y - blue

\(\frac{x}{y}=\frac{4}{7}\\ \frac{x+10}{y}=\frac{6}{7}\\\\ 7x=4y\\ 7x+70=6y\\ 4y+70=6y\\ 2y=70\\ y=35\\\\ 7x=4\cdot35\\ 7x=140\\ x=20\)

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