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11 Nov 2020, 03:58
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Mustafa has invented a new dance in which he moves 3 steps forward for every 4 steps he moves back. If the dance requires 49 steps in total, how many steps forward has Mustafa taken at the completion of the dance?
(A) 7
(B) 21
(C) 28
(D) 30
(E) 32
(A) 7
(B) 21
(C) 28
(D) 30
(E) 32
easiest way to see is that 3+4 =7
so 7*7=49 that means she took 7 pair of steps includes(3+4)
i.e 7*3=21
so 7*7=49 that means she took 7 pair of steps includes(3+4)
i.e 7*3=21
11 Nov 2020, 09:18
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3/7 of all his steps are forward steps, so the answer is (3/7)(49) = 21.
Or you can notice that he takes a similar number of forward and backward steps, but fewer forward steps, so the answer is less than half of 49, but not enormously less, and just pick 21 right away.
Or you can notice that he takes a similar number of forward and backward steps, but fewer forward steps, so the answer is less than half of 49, but not enormously less, and just pick 21 right away.
