Alice and Claire go apple picking. When they are done, Claire has 3 times as many apples in her basket as Alice has in hers. All of the apples are whole. A. What are three different possibilities for numbers of apples that could be in the baskets? B. What is the ratio of Alice's apples to Claire's apples? *

A. Alice could have 6 and Claire have 18 and if Alice has 12 apples and Claire has 36 apples and then Alice has 18 apples and Claire has 54 apples.

B= 1:3 For every 1 apple Alice has Claire has 3 apples

Step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.