Adam has a monthly income of $20 that can be spent on books (B)and pencils (P).The price of a book is $5 and the price of a pencil is $0.50.Which bundle of books and pencils is affordable for Adam,but does not use all of his income?
A) 1 book and 30 pencils
B) no book and 40 pencils
C) 2 books and 20 pencils
D) 1 book and 22 pencils

Question

Quizplus · Accepted Answer

To determine which bundle of books and pencils Adam can afford without using all of his income, we need to set up an inequality. Let x be the number of books and y be the number of pencils. Then we have:

5x + 0.5y <= 20

Simplifying this, we get:

10x + y <= 40

Now we just need to check each of the given options to see which ones satisfy this inequality and also do not use all of Adam's income:

A) 1 book and 30 pencils: 5(1) + 0.5(30) = 20, so this bundle uses all of Adam's income and is not affordable.

B) no book and 40 pencils: 5(0) + 0.5(40) = 20, so this bundle uses all of Adam's income and is not affordable.

C) 2 books and 20 pencils: 5(2) + 0.5(20) = 20, so this bundle uses all of Adam's income and is not affordable.

D) 1 book and 22 pencils: 5(1) + 0.5(22) = 16, so this bundle satisfies the inequality and does not use all of Adam's income. Therefore, the best choice is D.

Adam Has a Monthly Income of $20 That Can Be