A waiter's income consists of his salary and tips. During one week his tips…
2022
A waiter's income consists of his salary and tips. During one week his tips were 5/4 of his salary. What fraction of this income came from tips?
- A.
5/9
- B.
5/4
- C.
5/8
- D.
4/9
Attempted by 1 students.
Show answer & explanation
Correct answer: A
Concept
When a total is split into parts, the fraction contributed by one part equals that part divided by the whole (part ÷ total). Here the whole income is the sum of the salary and the tips, so first express both on a common base, then divide the tips by the total income.
Application
Let the salary be 4 units. Tips are 5/4 of the salary, so tips = (5/4) × 4 = 5 units.
Total income = salary + tips = 4 + 5 = 9 units.
Fraction of income from tips = tips ÷ total income = 5/9.
Cross-check
The salary's share is 4/9 and the tips' share is 5/9; together 4/9 + 5/9 = 9/9 = 1, the whole income. So the tips contribute 5/9.