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Bunuel
Misha has exactly enough money to buy 9 bottles of water. If each bottle cost 2 cents less, Misha has exactly enough money to buy 1 more bottle. How much money does Misha have?

A. $0.20
B. $1.80
C. $2.00
D. $18.00
E. $20.00


Given: Misha has exactly enough money to buy 9 bottles of water. If each bottle cost 2 cents less, Misha has exactly enough money to buy 1 more bottle.

Asked: How much money does Misha have?

Let the price of a bottle of water be w

Money Misha have = 9w = 10 (w-2) = 10w - 20
w=20
Money Misha have = 9w = 9*20 = 180 cents = $1.8

IMO B
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Bunuel
Misha has exactly enough money to buy 9 bottles of water. If each bottle cost 2 cents less, Misha has exactly enough money to buy 1 more bottle. How much money does Misha have?

A. $0.20
B. $1.80
C. $2.00
D. $18.00
E. $20.00

Solution:

Original Scenario
  • Cost of each bottle \(=$x\)
  • Misha has \(=$9x\)

New Scenario
  • Cost of each bottle \(=$(x-0.2)\)
  • Misha has \(=$10(x-0.02)\)

According to the question
\(9x=10(x-0.02)\)
\(⇒9x=10x-0.2\)
\(⇒x=0.2\)

  • Misha has \(=9x=9\times 0.2=$1.8\)

Hence the right answer is Option B
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Good question. Are there any other questions like this?
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