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.
