11. If 3 times a number is decreased by 5, the result is twice a number increase

Question

11. If 3 times a number is decreased by 5, the result is twice a number increased by six. Find the number 12. Jacky is twelve years younger than her sister, if the sum of their age is 92. How old is Jacky? 13. If the price of a home was $450 000 and after renovation the owner sold it for $605 000. What is the percent increase? 14, Your monthly salary is $ 4,500 and 21% is withheld for taxes and Social Security, how much money will be withheld from your check on payday 4,500 /4WHKg 1,125 l , l 2S%2 1-23 6.25-taxes cothheld 838 75-netpanqweekly 5 week 3,S5S 15. If a family use three a gallon of milk per week How much milk will this family need for four days?

Explanation / Answer

11) let the number be x.

Then , 3x-5=2x+6

3x-2x=6+5

x = 11

The number is 11.

12) let the age of Jacky be x and his sister's age be y.

Then, x+y=92......1)

And,x =y-12..........2)

Put value of 2 in 1

y-12+y = 92

2y = 104

y = 52

Then , x= 52-12=40

13) initial price = 450000

Final price = 605000

Increase = 605000-450000 = 155000

% increase = 155000 * 100/ 450000

= 155 * 100 / 450 =34.44%

14) monthly salary = 4500

Daily salary = 4500/12 = 375

Deduction = 21 *375 / 100 = 78.75

Per day withheld money = 78.75

15) family use 3 gallons of milk in 1 week

i.e in 7 days 3 gallons of milk

in 4 days milk used = 3*4/7= 12/7 = 1.71 gallons

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