Topic Content:
- Increasing or Decreasing a Quantity in a Given Ratio
- End of Lesson Evaluation Questions
1. To increase a given quantity by a given ratio, use the ratio as a multiplying factor such that the numerator is greater than the denominator.
2. To decrease a given quantity by a given ratio, use the ratio as a multiplying factor such that the numerator is less than the denominator.
Multiplying Factor = \( \frac{new \; quantity}{old \; quantity} \)
Worked Example 10.4.1:
Increase the following quantities in the given ratio:
a. 180 km in the ratio of 3:2
b. ₦500 in the ratio of 7:5
Solution
a. New quantity = \( \scriptsize 180 \; \times \; \normalsize \frac{3}{2} \scriptsize = 270 \)
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