What approximate value comes in place of x in the following?

Concept

In an approximation problem, replace each messy number by its nearest convenient whole value, then evaluate. For an equation of the form A = x% of B, isolate x using x = (A / B) x 100. The aim is the option closest to the true value, not an exact figure.

Application

1. Approximate each term on the left: 779.23 / 13 is about 780 / 13 = 60; 4.98 is about 5; the last term is 23.

2. Add them: 60 + 5 + 23 = 88. So the left-hand side is about 88.

3. The right-hand side is x% of 60.03, which is about x% of 60. Setting 88 = x% of 60 gives x = (88 / 60) x 100.

4. Compute: (88 / 60) x 100 = 146.7, which is about 147.

Cross-check

Using the unrounded numbers: 779.23 / 13 = 59.94, plus 4.98 plus 23 = 87.92; then 87.92 / 60.03 x 100 = 146.5. This still rounds to 147, confirming the result.