A prize of 84 dollars is shared between Noor and Leo in the ratio 3:4. Which pair gives Noor's share first?

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The ratio has 7 equal parts, so one part is 84 divided by 7, or 12 dollars; the shares are therefore 36 dollars and 48 dollars. Dividing 84 separately by 3 and by 4 gives 28 and 21, which neither total 84 nor preserve the ratio.