Nathan B. answered • 10/28/15

Elementary and Algebraic skilled

let r = orange; g = grape.

Here's what we know:

g = r + 1

2.5g + 1.5r = 12.5

We have a value for g, so let's plug that in:

2.5(r +1) + 1.5r = 12.5

Distribute:

2.5r + 2.5 + 1.5r = 12.5

Simplify:

4r + 2.5 = 12.5

Subtract 2.5 from both sides:

4r = 10

Divide by 4:

r = 2.5

Now we can solve for g:

g = 2.5 + 1

g = 3.5

Now to check:

2.5 * 3.5 + 1.5 * 2.5 = 12.50

8.75 + 3.75 = 12.50

12.50 = 12.50