Theory question 103
Ratio, Percentages and Rates(a) Ali, Musah and Yusif shared ₦420,000.00 in the ratio 3 : 5 : 8 respectively. Find the sum of Ali and Yusif's shares.
(b) Solve: 2(1/8)x = 32x − 1.
Show the model answer
Model answer
(a) Total parts = 16; Ali = 3/16 × 420,000 = ₦78,750; Yusif = 8/16 × 420,000 = ₦210,000
Sum = ₦288,750 (or 11/16 × 420,000)
(b) Write in base 2: 21 × 2−3x = 25(x − 1)
1 − 3x = 5x − 5 → 8x = 6
x = 3/4
Explanation
Write every number as a power of 2 before equating indices.