# math

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the cost of 2 televisions and 3 dvd players cost 1421 dollars the cost of 1 dvd player is half the cost of of 1 television what is the cost of 1 television. How you could slove in simple math

• math -

ratio=2+3=5
cost of 3 television
3/5 x 1421=852.6
cost of one television=852.6/3
=284.2

fine the price of 1 dvd???

• math -

This is completely incorrect. This is assuming that the price of one television equals the price of one dvd. Since it tells you that one television equals two dvds, you substitute in 4 dvds for two televisions. So you pretend that there are seven dvds. So the price of one dvd is 1421/ 7. \$203. Then double that to get \$406

• math -

is 17283

• math -

The first answer given by Khan is correct. Although he used the ratio of 3/5 instead of 2/5 which would make more sense considering there were two televisions, not 3. You still get the same answer, though, because they then divided the number they got by multiplying 3/5 and 1,421 by 3. You could multiply 2/5 and 1,421 then divide that answer by 2 and get the same number. If you calculate it out, though, 284.2 is the correct answer. 2 televisions and 3 DVD players, and a DVD player costs half of a television, so you get the equation (284.2*2)*((284.2/2)*3) which does in fact equal 1,421.