ANSWER:
Ratio of number of marbles with Shannon to number of marbles with tom is 5 : 6
SOLUTION:
Given that,
Tom has 18 tiger-eye marbles,
Shannon has 15 agate marbles
Ratio of Shannon's marbles to Tom's marbles = ?
Now, number of marbles with Shannon = 15
And number of marbles with tom = 18
So, ratio of Shannon's marbles to Tom's marbles =
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
Cancel by 3 in numerator and denominator, we get
The fraction
can be written in ratio as = 5 : 6
Hence, the ratio proportion is number of marbles with Shannon to number of marbles with tom is 5 : 6