Ali's mass is 45 kg and May's mass is 40 kg.
(a) Express Ali's mass as a percentage of May's mass.
(b) Express May's mass as a percentage of Ali's mass.
Answer (1)
To find Ali's mass as a percentage of May's mass, calculate 40 45 × 100 .
Ali's mass is 112.5% of May's mass.
To find May's mass as a percentage of Ali's mass, calculate 45 40 × 100 .
May's mass is approximately 88.89% of Ali's mass.
Explanation
Problem Analysis We are given Ali's mass as 45 kg and May's mass as 40 kg. We need to express Ali's mass as a percentage of May's mass in part (a), and May's mass as a percentage of Ali's mass in part (b).
Part (a): Ali's mass as a percentage of May's mass To express Ali's mass as a percentage of May's mass, we divide Ali's mass by May's mass and multiply by 100.
Calculation for Part (a) Ali's mass as a percentage of May's mass is calculated as: May’s mass Ali’s mass × 100 = 40 45 × 100 The result of the operation is 112.5.
Conclusion for Part (a) Therefore, Ali's mass is 112.5% of May's mass.
Part (b): May's mass as a percentage of Ali's mass To express May's mass as a percentage of Ali's mass, we divide May's mass by Ali's mass and multiply by 100.
Calculation for Part (b) May's mass as a percentage of Ali's mass is calculated as: Ali’s mass May’s mass × 100 = 45 40 × 100 The result of the operation is approximately 88.89.
Conclusion for Part (b) Therefore, May's mass is approximately 88.89% of Ali's mass.
Examples
Understanding percentages is crucial in everyday life. For instance, when comparing the prices of two items, expressing the difference as a percentage helps in making informed decisions. If a store offers a 20% discount on an item, calculating the discounted price becomes straightforward using percentages. Moreover, in financial planning, understanding percentage returns on investments is essential for assessing performance and making strategic decisions.
