# Algebra Puzzle – Challenge 58

This math puzzle practices a wide variety of math skills. You need to use all the basic operator skills you can think of.

## Challenge:

Three times of Michael’s money equals $$\frac{2}{3}$$ of Jackson’s money. If the sum of their money is $2200, how much money does Michael have? A- 200 B- 400 C- 1000 D- 1600 E- 1800 ### The Absolute Best Book to Challenge Your Smart Student! Original price was:$16.99.Current price is: $11.99. Satisfied 123 Students The correct answer is B. Let M be Michael’s money and J be Jackson’s money. Therefore: M + J = 2200 and 3M $$= \frac{2}{3} J →M = \frac{2}{9} J$$ Replace the value of M in the first equation with its value in the second equation. $$\frac{2}{9} J + J = 2200→ J = 1800$$ $$M = \frac{2}{9} J → M = \frac{2}{9} (1800) = 400$$ Michael has$400.

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