Data Sufficiency

At a sale all books were priced equally and all magazines were priced equally. What was
the price of 3 books and 4 magazines at the sale?

(1) At the sale the price of a book was $1.45 more than the price of a magazine.
(2) At the sale the price of 6 books and 8 magazines was $43.70.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

How is the answer b???

this is how i worked it:

price of books ,b and price of magazines, m

stat 1 - insuff if price of books is 1.45 more than price of magazines i end up with 8.35m

stat 2) 6b + 8m =43.7 two variables , one equation how do i solve this ? or if there is a unique answer how do i reach it quickly?

At a sale all books were priced equally and all magazines were priced equally. What was
the price of 3 books and 4 magazines at the sale?

(1) At the sale the price of a book was $1.45 more than the price of a magazine.
(2) At the sale the price of 6 books and 8 magazines was $43.70.


6 Books + 8 Mag = $ 43.70
divide by 2
3 Book + 4 Mag = 43.7/2
So Option B.

This is not to test the concept which Patrick explained in another post .
https://www.beatthegmat.com/joanna-bough ... 58331.html

kstv wrote:At a sale all books were priced equally and all magazines were priced equally. What was
the price of 3 books and 4 magazines at the sale?

(1) At the sale the price of a book was $1.45 more than the price of a magazine.
(2) At the sale the price of 6 books and 8 magazines was $43.70.


6 Books + 8 Mag = $ 43.70
divide by 2
3 Book + 4 Mag = 43.7/2
So Option B.

This is not to test the concept which Patrick explained in another post .
https://www.beatthegmat.com/joanna-bough ... 58331.html

great! thanks much!

See Image for scratch paper organization.