Maria has 4 more pencils than toni. Angela has half as many pencils as maria. The 3 girls have a total of 21 pencils. How many pencils does maria have?

Question

this is a questain on my math home work also what is the equation for tori

Answer 1

Let's name our Variables:

m = Maria, t = Toni, a = Angela

Now let's list what we know:

m = t + 4

a = m/2

a + m + t = 21

 

Since we have some values for our equation, let's put them in:

m/2 + t + 4 + t = 21

(t + 4)/2 + t + 4 + t = 21

.5t + 2 + t + 4 + t = 21

2.5t + 6 = 21

2.5t = 15

Divide both sides by 2.5:

t = 6

 

Now we can solve for Maria:

m = 6 + 4

m = 10

 

We can check our answer by now solving for a and put our values into the original equation:

a = 10 / 2

a = 5

 

5 + 10 + 6 = 21

21 = 21