AAPL wrote: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?
A. 4
B. 5
C. 6
D. 8
E. 10
We can PLUG IN THE ANSWERS, which represent the total number of children.
When the correct answer is plugged in, Tom's resulting amount = $12.
B: 5 children, implying that the original share per child = 120/5 = 24
After Tom gives $6 to each of his 4 siblings, Tom's resulting amount = 24 - (4*6) = 0.
Tom resulting amount is too small.
For Tom's resulting amount to be greater, there must be FEWER CHILDREN, so that each child receives a greater portion of the $120 and fewer siblings are given $6 of Tom's allotment.
The correct answer is
A.
A: 4 children, implying that the original share per child = 120/4 = 30
After Tom gives $6 to each of his 3 siblings, Tom's resulting amount = 30 - (3*6) = 12.
Success!
Last edited by GMATGuruNY on Tue May 29, 2018 8:48 am, edited 1 time in total.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
