a married couple together earns php 110,000 a year.the wife earns php 16,000 les...

Questions

August 2021 1 91 Report

a married couple together earns php 110,000 a year.the wife earns php 16,000 less than twice what her husband earns.how much does the husband earn?

Answers & Comments

johnlansangan

Answer:

$42000 \: php$

Step-by-step explanation:

Let x be the wife's earnings

Let y be the husband's earnings

$x + y = 11000$

however, it says the wife earns php 16000 less than twice her husband earns

$x = 2y - 16000$

combine the equations and solve for x:

$x + y = 110000 \\ x = 2y - 16000 \\ \\$

$y = \frac{x}{2} + 8000$

substitute the value of y for x + y = 110,000

$x + ( \frac{x}{2} + 8000) = 110000 \\ \frac{2x + x + 16000}{2} = 110000 \\ \frac{3x + 16000}{2} = 110000$

multiply both sides by 2 to eliminate or cancel the denominator of the fraction:

$2( \frac{3x + 16000}{2} ) = (110000)(2) \\ 3x + 16000 = 220000 \\ 3x = 220000 - 16000 \\ 3x = 204000 \\ x = 68000 \: php \: the \: wife \: earnings \\ \\ substitute \: x \: to \: get \: the \: husband \: earnings \\ x = 2y - 16000 \\ 68000 = 2y - 16000 \\ 2y = 68000 + 16000 \\ 2y = 84000 \\ y = 42000 \: php \:$

to check:

42000 + 68000 = 11000

(42,000 x 2) - 16000 = 84000 - 16000 = 68000

Questions

Answers & Comments

Add an Answer

x-30...

Paano nakakatulong ang sistemang pang-ekonomiya bilang sagot sa kakapusan at pan...

Ano ang mga Main Characters sa Movie na Seven Sundays, Sinong actor o actress an...

which type of mixing method were cookies are usually having lower liquid content...

summarize please help

iligpit mo ang pamalot batay walang masasapit di na baling ang anak ko sa pa

31. Sarah is a brilliant student.____________,she is a responsible daughter. A.A...

Directions:Rank the factors in selecting the bestsite or location of farm from t...

Sa iyong opinion ano ang kahulugan ng kasabihan na ito at itala ang mga paraan u...

3. Ano ang pinakamabuting bunga ngpananakop? please help...

Recommend Questions

Helpful Links

Helpful Social