Question

A total of $2100 for a house painting job is to be divided between two painters in the ratio of 3 to 4. How much does each painter receive?

Answer 1

$\bf 2100\qquad 3:4\qquad \cfrac{3}{4}\implies \cfrac{3\cdot \frac{2100}{3+4}}{4\cdot \frac{2100}{3+4}}\implies \cfrac{3\cdot 300}{4\cdot 300}\implies \cfrac{900}{1200}$