Answer to Question #254172 in Discrete Mathematics for migs

Question

Use Polya’s four-step problem-solving strategy and the problem-

solving procedures to solve each of the following exercises.

(a) An android phone and a Bluetooth speaker together cost Php6500.00

. The phone costs Php2000.00 more than the speaker. What is

the cost of the phone?

(b) In how many ways can you answer a 12-question true-false test

if you answer each question with either a “true” or a “false”?

(c) A total of 364 first-year students of CMU are currently enrolled

in the subject GEC14. If there are 26 more girls than boys, how

many girls are there?

Answer 1

a)

x- cost of android phone,

y - cost of Bluetooth speaker

$x+y=6500$

$x=2000+y$

$2000+2y=6500$

$y=2250$

$x=2000+2250=4450$

Answer: the phone costs Php 4450.

b)

$N=2^{12}=4096$ ways

c)

x - number of girls,

y - number of boys

$x+y=364$

$x=y+26$

$2y+26=364$

$y=338/2=169$

$x=169+26=195$

Answer: 195 girls