Question
Divide 150 in the ratio 2:3.
Ask by Bright Chang. in Papua New Guinea
Mar 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Dividing 150 in the ratio 2:3 results in 60 and 90.
Solution
Let the two parts be
and
.
- The total sum is
, and we have: - Solve for
: - Now, calculate each part:
Thus, dividing 150 in the ratio
gives the parts
and
.
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
To divide 150 in the ratio of 2:3, first add the parts of the ratio together: 2 + 3 = 5. Then, each part can be calculated based on this total. For the first part, you take (2/5) of 150, which gives you 60. For the second part, you take (3/5) of 150, which equals 90. So, you end up with 60 and 90.
Every time you use ratios, remember that they represent parts of a whole. This concept can apply to various situations like dividing resources among team members or allocating budget funds. The key is to always sum the parts of the ratio first to find a standard unit to work from!