Question

During the past year, Mrs. Singh purchased 29 books at a wholesale club store. She purchased softcover books for $3.50 each and hardcover books for $11.50

each. The total cost of the books was $205.50. How many of each type of book did she purchase?

Part 1 of 2
Mrs. Singh purchased (blank) softcover books

Part 2 of 2
Mrs. Singh purchased (blank) hardcover books.

Answer 1

Explanation:

Let's assume the number of soft-cover books Mrs. singh purchased as y.

let's assume the number of hard-cover books Mrs. singh purchased as x.

Total number of books purchased = 29 (given)

i.e. (hardcover books) + (softcover books) = 29

x + y = 29 ........................(i)

Total amount spent on books = Rs.205.50

i.e. (cost of hardcover books) + (cost of softcover books) = 205.50

(price * no. of hardcover books) + (price * no. of softcover books) = 205.50

(11.50*x) + (3.50*y) = 205.50 ......................(ii)

from eq(i),

we find x,

x = 29-y

putting the value of x in eq(ii),

(29-y)11.50 + 3.50y = 205.50

333.50 - 11.50y + 3.50y = 205.50

8y = 128

y = 16

so, x = 29 - 16 = 13

Therefore, the number of soft cover books purchased by Mrs. Singh is 16 and the number of hardcover books purchased by Mrs. Singh is 13.