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eharris2694
15.07.2019 •
Mathematics
"lito had some marbles. he gave ½ of his marbles plus 1 to felix, ½ of the remaining marbles plus 1 to ces, and ½ of the last remaining marbles plus 1 to pedro. if lito had 1 marble left for himself, how many marbles did he have at first? "
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Ответ:
let
x> total amount of marbles at the beginning
we know that
1) He gave ½ of his marbles plus 1 to Felix
(1/2)*x+1=(x+2)/2 (Felix's marbles)
remaining=x-[(x+2)/2]> [2x-x-2]/2> (x-2)/2
2)½ of the remaining marbles plus 1 to Ces
(1/2)*[(x-2)/2]+1=[(x-2)/4]+1> (x+2)/4 (Ce's marbles)
remaining=[(x-2)/2]-[(x+2)/4]> [2x-4-x-2]/4> (x-6)/4
3) ½ of the last remaining marbles plus 1 to Pedro
(1/2)*[ (x-6)/4]+1=[(x-6)/8)+1> (x+2)/8 (Pedro's marbles)
remaining=[(x-6)/4]-[(x+2)/8]> [2x-12-x-2]/8> (x-14)/8
4)If Lito had 1 marble left for himself
so
the last remaining is equal to 1
(x-14)/8=1> x-14=8> x=22 marbles
Verify
(x+2)/2 (Felix's marbles)> (22+2)/2=12
(x+2)/4 (Ce's marbles)> (22+2)/4=6
(x+2)/8 (Pedro's marbles)---> (22+2)/8=3
Lito's marbles> 1
total=12+6+3+1=22> is ok
therefore
the answer is
the total amount of marbles at the beginning was 22
Ответ:
6.0×10^6
Step-by-step explanation:
well you can use a calculator and when u do u will get 6,000,200. then u convert this to decimal by moving the decimal point from the back till u get to 6.0 just ignore the two in the answer given to u by the calculator. hope u understand