Question

Javier has a basket of oranges and apples. The number of oranges is 2 more than twice the number of apples in the basket. The difference of half the number of oranges and half the number of apples is 4.

Answer 1

Hello!

Let's put this into a system of equations and have a represent the apples and o represent the oranges.

o=2a+2
0.5o-0.5a=4

Since we can already so what o equals (2a+2) we will substitute it into the second equation and solve for a.

0.5(2a+2)-0.5a=4
1a+1-0.5a=4
1.5a+1=4
1.5a=3
a=2

Now that we know the value of a will put a into the first equation to find o.

o=2(2)+2
o=4+2
o=6

There were 6 oranges and 2 apples.

I hope this helps!