Question

Kat owns 15% more figurines than she did last year. She purchased F figurines this year. Which of the following expressions could represent the number of Figurines Kat owned last year?

Answer 1

Well please re post the complete question as i can not see the expression over here. How ever, A wild guess is 15% of x + x should be equal to F. Where x is the figurines owned the previous year.

Answer 2

Answer:  F / 0.15 = 100F / 15 = 20F / 3 ≈ 6.67F.

Explanation:

1) The three expresssions,  F / 0.15;  15 F / 100; 3F / 20; are equivalent.

2) The number of figurines Kat owned last year may be expressed in terms of the number the of figurines purchased, F, this year, and the 15%, following this procedure:

• Call n the amount of figurines owned last year.

• F is the number of figurines purchased: F  = 15%n = 0,15n

• Hence, you just need to clear F from the expression F = 0.15n

• Divide both sides by 0.15:

        F / 0.15 = n or n = F / 0.15 (reflexive property)

• To prove the equialavence of the other expresssions you just have to use the properties of multiplication or division:

       (F / 0.15) × (100 / 100) = 100F / 15

        100F / 15 = (100/5)F / (15/5) = 20F / 3 ≈ 6.67F