Question

Divide 210 between James and John in ratio 3:4​

Answer 1

James- 90 and John- 120

Explanation:

Since you want to divide 210 with a ratio of 3:4. It's easiest to first add your 3 and 4. This =7. Now you know you have to divide 210 by 7 before you give them to James and John. 210 divided by 7 = 30. Now do 30 times each ratio.

James has 30 x 3 and John has 30 x 4

this leaves you with 90 and 120

Answer 2

well, we can simply divide 210 by (3 + 4) and then distribute accordingly

`\stackrel{James}{3}~~ : ~~\stackrel{John}{4} ~~ \implies ~~ \stackrel{James}{3 ~~ \cdot (210)/(3+4)}~~ : ~~\stackrel{John}{4~~ \cdot (210)/(3+4)} ~~ \implies ~~ \stackrel{James}{3 \cdot (210)/(7)}~~ : ~~\stackrel{John}{4 \cdot (210)/(7)} \\\\\\ \stackrel{James}{3(30)}~~ : ~~\stackrel{John}{4(30)} ~~ \implies ~~ \stackrel{James}{90}~~ : ~~\stackrel{John}{120}`