If 47.2506 = 4A + 7/B + 2C + 5/D + 6E, then find the value of 5A + 3B + 3C + D…

Correct answer: 153.3003.

Compare the given expression with the place-value expansion of 47.2506:

47.2506 = 40 + 7 + 0.2 + 0.05 + 0.0006

• 4A = 40, so A = 10.

• 7/B = 7, so B = 1.

• 2C = 0.2, so C = 0.1.

• 5/D = 0.05, so D = 100.

• 6E = 0.0006, so E = 0.0001.

Now substitute in the required expression:

5A + 3B + 3C + D + 3E = 5(10) + 3(1) + 3(0.1) + 100 + 3(0.0001)

= 50 + 3 + 0.3 + 100 + 0.0003 = 153.3003.