"Suppose an economy has 13.5 million unemployed workers, million employed workers, and 73.1 million adults who do not participate in the labor force. The labor force participation rate for this economy is 68.26 percent."

143.7 million

Explanation:

Given that

Unemployed = 13.5 million

Adults not participating = 73.1 million

Labour force participation rate = 68.26 = 0.6826

Employed = x

Recall that

Labour force participation rate = (employed + unemployed)/total adult population

0.6826 = (13.5 + x) / (13.5 + x + 73.1)

0.6826 = 13.5 + x / 86.6 + x

13.5 + x = 59.11316 + 0.6826x

13.5 - 59.11316 = 0.6826x - x

-45.61316 = -0.3174x

X = 45.61316 ÷ 0.3174

= 143.708

= 143.71 million

Employed people therefore = 143.71 million

The economy has 143.70 million employed workers

Explanation:

The  73.1 million that do not participate in the labor force represents 31.74%  of the entire workforce(total workforce of 100% less participatory workforce i.e 100%-68.26%)

31.74%=73.1 million

100%=73.1 million/31.74%

100%=230.31 million

Invariably, the entire able-bodies in the economy is 230.31 million

Employed workers=able-bodies less unemployed workers less non-participatory workers

employed workers=230.31-13.5-73.1

employed workers=143.70 million