Pudge has three times as many apples as Ace, and Ace has twice as many as Christi. How many apples does each have if pudge has 12 more than both Ace and Christi together?

Step-by-step explanation:

Let P = Pudge's Apples

Let A = Ace's Apples

Let C = Christi's Apples

Given that P = 3A  , A = 2C  and P = A + C + 12

 Substitute the value for P in P = A + C + 12 we get

3A = A + C + 12

3A-A=C+12  

2A=C+12

From A = 2C we have that  

 Substitute the value  C:

 Substituting the value of A in P=3A we get

 P = 3(8)

   Substituting the values of P and A in P = A + C + 12

4=C

Rewritting we get

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: