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the ratio of red marbles to blue marbles in a bag is 4:7. There are 16 red marbles.How many blue marbles are there? solve for indicated variable.

Verified Answer :

naǫ

red marbles : blue marbles = 4:7

16 - red marbles
x - blue marbles

\(\frac{16}{x}=\frac{4}{7} \\ 16 \times 7 = 4x \\ 4 \times 7 = x \\ x=28\)

There are 28 blue marbles.

konrad509

4x - number of red marbles
7x - number of blue marbles

\(4x=16\\ x=4\\\\ 7x=7\cdot4=\boxed{28} \leftarrow \hbox{number of blue marbles}\)

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