First you would have to find the third angle in the triangle which you would do by adding 63+61 and subtracting the resulting number from the total degrees in a triangle. From there, you would calculate x and y using the knowledge that angles on a line equal 180.
You didn't give us the sentence where the blank is placed.
8 apples/15 minutes
16 apples/x minutes
8/16=1/2
2*15=30
30 minutes
Factor is 2(13+3x)
Simplify is 26+6x
If you would like to know how much rope do they need, you can calculate this using the following steps:
42 yards * 2 + 36 yards * 2 = 42 * 2 + 36 * 2 = 84 + 72 = 156 yards
They will need 156 yards long rope.