Nine men went to a restaurant. Eight of them spent $6 each for their meals and the ninth man spent $4 more than the average expenditure of all nine men. What is the average expenditure?
Average simply is the sum of a set of data divided by the quantity of the data.
We know what 8 men spent which is $6 each Let what the ninth man spent be = Y Let the average of what the nine men spent be = Z
the ninth man spent $4 more than the average expenditure of all nine men
So, Y = Z + 4 (eqn 1)
average of what all nine men spent will then be ((6 x 8) + Y) ÷ 9 = Z (48 + Y) ÷ 9 = Z
Multiply all through by 9 48 + Y = 9Z (eqn 2)
Put eqn 1 into eqn 2 48 + Z + 4 = 9Z 52 + Z = 9Z 52 = 9Z - Z 52 = 8Z Z = 52 ÷ 8 Z = 6.5
Nine men went to a restaurant. Eight of them spent $6 each for their meals and the ninth man spent $4 more than the average expenditure of all nine men. What is the average expenditure?
Average simply is the sum of a set of data divided by the quantity of the data.
We know what 8 men spent which is $6 each Let what the ninth man spent be = Y Let the average of what the nine men spent be = Z
the ninth man spent $4 more than the average expenditure of all nine men
So, Y = Z + 4 (eqn 1)
average of what all nine men spent will then be ((6 x 8) + Y) ÷ 9 = Z (48 + Y) ÷ 9 = Z
Multiply all through by 9 48 + Y = 9Z (eqn 2)
Put eqn 1 into eqn 2 48 + Z + 4 = 9Z 52 + Z = 9Z 52 = 9Z - Z 52 = 8Z Z = 52 ÷ 8 Z = 6.5
So, average of the expenditure is $6.5
Answer: $6.5
BY Riddles Repository - Answers
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Spiking bond yields driving sharp losses in tech stocks
A spike in interest rates since the start of the year has accelerated a rotation out of high-growth technology stocks and into value stocks poised to benefit from a reopening of the economy. The Nasdaq has fallen more than 10% over the past month as the Dow has soared to record highs, with a spike in the 10-year US Treasury yield acting as the main catalyst. It recently surged to a cycle high of more than 1.60% after starting the year below 1%. But according to Jim Paulsen, the Leuthold Group's chief investment strategist, rising interest rates do not represent a long-term threat to the stock market. Paulsen expects the 10-year yield to cross 2% by the end of the year.
A spike in interest rates and its impact on the stock market depends on the economic backdrop, according to Paulsen. Rising interest rates amid a strengthening economy "may prove no challenge at all for stocks," Paulsen said.
China’s stock markets are some of the largest in the world, with total market capitalization reaching RMB 79 trillion (US$12.2 trillion) in 2020. China’s stock markets are seen as a crucial tool for driving economic growth, in particular for financing the country’s rapidly growing high-tech sectors.Although traditionally closed off to overseas investors, China’s financial markets have gradually been loosening restrictions over the past couple of decades. At the same time, reforms have sought to make it easier for Chinese companies to list on onshore stock exchanges, and new programs have been launched in attempts to lure some of China’s most coveted overseas-listed companies back to the country.
