Mrs. Jones divided $120 evenly among her children. Tom, the eldest, decided to give each of his brothers and sisters $6 of his share. Eventually, Tom ended up with $12. How many children does Mrs. Jones have?
A. 4
B. 5
C. 6
D. 8
E. 10
Let x be the number of children.
Tom decided to give each of his brothers and sisters $6 of his share. Eventually, Tom ended up with $12.
the original amount Tom had is : 12+6(x-1)
Mrs. Jones divided $120 evenly among her children, so all children had the same amount as Tom : 12+6(x-1)
(12+6(x-1)) x =120
(x-4)(x+5)=0
x=4 or x=-5
so the number of children is :4
answer choice A
A. 4
B. 5
C. 6
D. 8
E. 10
Let x be the number of children.
Tom decided to give each of his brothers and sisters $6 of his share. Eventually, Tom ended up with $12.
the original amount Tom had is : 12+6(x-1)
Mrs. Jones divided $120 evenly among her children, so all children had the same amount as Tom : 12+6(x-1)
(12+6(x-1)) x =120
(x-4)(x+5)=0
x=4 or x=-5
so the number of children is :4
answer choice A
Statistics : Posted by coucoudanger • on 21 Sep 2023, 01:30 • Replies 3 • Views 139
