56. y 2x 3 = 0.499x + 2 y = 1.9999x-2 1.25 0.47x 1.26y 3.58 57. 0.23x+ 0.32y 58.

Question

56. y 2x 3 = 0.499x + 2 y = 1.9999x-2 1.25 0.47x 1.26y 3.58 57. 0.23x+ 0.32y 58. 342x 78y 474 123x + 145y 397 MODELING ve each problem using two variables and a system of two equa- . Solve the system by the method of your choice. Note that some of these problems lead to dependent or inconsistent systems 59. Two-Income Family Althea has a higher income than Vaughn and their total income is $82,000. If their salaries differ by $16,000, then what is the income of each? 60. Males and Females A total of 76 young Republicans at- tended a strategy meeting. The number of females exceeded the number of males by 2. How many of each gender were at the meeting? 61. Income on Investments Carmen made $25,000 profit on the sale of her condominium. She lent part of the profit to Jim's Orange Grove at 10% interest and the remainder to Ricky's Cars at 8% interest. If she received $2200 in interest af- er one year, then how much did she lend to each business? 62. Stock Mark market as h le futures market as he did in the stock market. If his losses how much did he lose in each market? ock Market Losses In 2012 Gerhart lost twice as much in ntotaled $18 630 then much

Explanation / Answer

59) Consider income of Althea is $ x and income of Vaughn is $y

From the given condition x +y = 82000 -----------1

and x-y = 16000 -----------2

solving 1&2 by 1+2

2x =98000

x= 49000

Hence puting x= 49000 in (1)

we get 49000 +y = 82000

y=82000-49000

=33000

hence y=$33000

ncome of Althea is $ 49000 and income of Vaughn is $33000

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