REASONING 5. Assuming that a≠c, find the x-value of the intersection point of the lines y = ax +b and y = cx+d.

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66.7%

Step-by-step explanation:

Given that

Total population = 50 million

Adults = 30 million

Those not interested in working = 5 million

Those interested in working but given up on searching = 5 million

Those searching = 5 million

Those working part time = 5 million

Those working full time = 10 million

Recall that

Labour force participation rate = (number of people actively participating in labour ÷ total number of people eligible) × 100

Number of people actively participating in labour = employed + unemployed

Employed = 10 million full time + 5 million part time

= 15 million

Unemployed = 5 million. Those searching.

Thus,

People actively participating in labour = 15 + 5= 20 million.

Total number of eligible people = total number of adults = 30 million

Therefore

Labour participation rate = (20/30) × 100

= 0.66667 × 100

= 66.6667

Approximately 66.7%