Question

Alesia , mama si bunica ei au primit , in total , 221 de martisoare . Alesia a primit de trei ori mai putine martisoare decat ama sa , insa de trei ori mai multe decat bunica. Afla cate martisoare a primit fiecare.

Answer 1

the question in English is

Alesia, her mother and grandmother received a total of 221 marshmallows. Alesia received three times less marshmallows than his mother, but three times more than his grandmother. Find out how many marshmallows each received.

Let
x--------------------> number of marshmallows received for Alexia
y--------------------> number of marshmallows received for the mother
y--------------------> number of marshmallows received for the grandmother
we know that

x+y+z=221
x=y/3----> Alesia received three times less than his mother-----> y=3x
x=3z----> Alesia received three times more than his grandmother---> z=x/3
x+y+z=221-------> x+(3x)+(x/3)=221
4x+(x/3)=221--------> (12x+x)/3=221-----> 13x= 663
x=663/13=51
y=3x----> 3*51=153
z=x/3----> 51/3=17

the answer is
Alexia received 51 marshmallows
the mother received 153 marshmallows
the grandmother received 17 marshmallows


the answer in Romanian

lăsa
x--------------------> numărul de martisoare primit pentru Alexia
y--------------------> numărul de martisoare primite pentru mama
y--------------------> numărul de martisoare primite pentru bunica

noi stim aia

x+y+z=221
x=y/3----> y=3x
x=3z----> z=x/3
x+y+z=221-------> x+(3x)+(x/3)=221
4x+(x/3)=221--------> (12x+x)/3=221-----> 13x= 663
x=663/13=51
y=3x----> 3*51=153
z=x/3----> 51/3=17

raspunsul este
Alexia a primit 51 martisoare
mama a primit 153 martisoare
bunica a primit 17 martisoare