Question

CAN SOMEONE PLEASE HELP? THESE QUESTIONS ARE REALLY HARD AND I HAVE BEEN STUCK ON THEM FOR A WHILE. I REVIEWED THE LESSON AND EVERYTHING!

THANKS FOR YOUR HELP!

1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each
sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.
Answer:

2. Solve each given equation and show your work. Tell whether it has one solution, an infinite number of
solutions, or no solutions, and identify each equation as an identity, a contradiction, or neither.
(a)
6x + 4x - 6 = 24 + 9x
(b)
25 - 4x = 15 - 3x + 10 - x
(c)
4x + 8 = 2x + 7 + 2x - 20
Answer:

3. At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each
cost the same amount, but each was $2.25 less than the items that Tanya bought. Both Tanya and Tony paid
the same amount of money. What was the individual cost of each person's items?
(a) Write an equation. Let x represent the cost of one of Tanya's items.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences.
Answer:

Answer 1

Kim is 24 and her sister is 12

Answer 2

Well if I did the right calculations... Kim is 24. The sister is age twelve! Hope I helped.

A. K+S=36

B. Well Simple Addition and Subtraction solves this easily. If you Add 12+12 it equals 24. It still needs to be larger so that Kim is twice as old as her little sister. So you Add another 12 which gives you 36. Or you can easily subtract 12 from it and that will also bring you to 24.