Dividing Quantities
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Question 1 of 2
1. Question
Divide `$600` into the ratio of `3:7`. `$` (180)`:$` (420)
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A ratio compares quantities of the same type given in the same units.First, add the ratios to get the total of the parts.`3+7` `=` `10` Convert the ratios into fractions of the total parts.`3:7` `=` `3/(10):7/(10)` Finally, multiply the ratios to the total value.`3/(10)``times600` `:` `7/(10)``times600` Multiply both sides by `600` `(1800)/(10)` `:` `(4200)/(10)` Evaluate `180` `:` `420` We can check by adding the ratios in our answer and the result will be the total value (`$600`).`180` `:` `420` `180+420` `=` `600` `$180:$420` 
Question 2 of 2
2. Question
Divide `$99` into the ratio of `2:6:3`. `$` (18)`:$` (54)`:$` (27)
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A ratio compares quantities of the same type given in the same units.First, add the ratios to get the total of the parts.`2+6+3` `=` `11` Convert the ratios into fractions of the total parts.`2:6:3` `=` `2/(11):6/(11):3/(11)` Finally, multiply the ratios to the total value.`2/(11)``times99` `:` `6/(11)``times99``:3/(11)``times99` Multiply the ratios by `99` `(198)/(11)` `:` `(594)/(11):(297)/(11)` Evaluate `18` `:` `54:27` We can check by adding the ratios in our answer and the result will be the total value (`$99`).`18:54:27` `18+54+27` `=` `99` `$18:$54:$27`