Question

You know that the current exchange rate for US dollars (USD) to Indian rupees (INR) is 1:45.85, that the exchange rate for Indian rupees to Bangladeshi taka (BDT) is 1:1.507, and that the exchange rate for Bangladeshi taka to Myanma kyat (MMK) at a rate of 1:0.0928. Which of the following equations is set up properly to calculate the exchange rate from US dollars to Myanma kyat?
a.
(1 U S D) times StartFraction (1 U S D) over (45.85 I N R) EndFraction times StartFraction (1 I N R) over (1.507 B D T) EndFraction times StartFraction (1 B D T) over (0.0928 M M K) EndFraction = (x M M K).
b.
(1 U S D) times StartFraction (45.85 I N R) over (1 U S D) EndFraction times StartFraction (1.507 B D T) over (45.85 I N R) EndFraction times StartFraction (0.0928 M M K) over (1.507 B D T) EndFraction = (x M M K).
c.
(1 U S D) times StartFraction (45.85 I N R) over (1 U S D) EndFraction times StartFraction (1.507 B D T) over (1 I N R) EndFraction times StartFraction (0.0928 M M K) over (1 B D T) EndFraction = (x M M K).
d.
(1 U S D) times StartFraction (1 U S D) over (45.85 I N R) EndFraction times StartFraction (45.85 I N R) over (1.507 B D T) EndFraction times StartFraction (1.507 B D T) over (0.0928 M M K) EndFraction = (x M M K).

Answer 1

Correct answer: c.

Reason: Multiply to cancel units in order:
1 USD * (45.85 INR / 1 USD) * (1.507 BDT / 1 INR) * (0.0928 MMK / 1 BDT) = x MMK.
Numerically x = 45.85 * 1.507 * 0.0928 ≈ 6.41 MMK per USD.