Question

Landon made plain cookies and raisin cookies in the ratio of 2:3

He then made 6 more raisin cookies and the ratio changed to 1:3.
How many cookies did Landon make in all?

Answer 1

Explanation:

x = number pain cookies

y = number raisin cookies

x/y = 2/3

x/(y+6) = 1/3

x = (y + 6)/3

x = 2y/3

therefore,

x = x = (y + 6)/3 = 2y/3

y + 6 = 2y

6 = y

x = 2y/3 = 2×6/3 = 2×2 = 4

so, he made originally 4 + 6 cookies, and then he made 6 more raisin cookies, so, he made 4 + 6 + 6 = 16 cookies.