x = number of packages he bought
y = number of popsicles in each package
Here are the two equations:
xy = 54
x = 3 + y
Using the substitution method, you can solve them to find x and y.
(3 + y)y = 54,
3y + y^2 = 54
y^2 + 3y - 54 = 0
Solve the quadriatic equation:
(y +9)(y - 6) = 0
y = -9, 6.
Plug y into: xy = 54
x(-9) = 54, x = -6.
x(6) = 54, x = 9.
So he bought 9 packages of popsicles, bc you can't bye -6 packages.
The two angles with x in them are the same. Set them equal to each other and solve for x:
4x-5 = 3x + 11
Add 5 to both sides:
4x = 3x +16
Subtract 3x from both sides:
x = 16
Now solve for the angle next to y:
4x - 5 = 4(16) -5 = 64 -5 = 59
Y + 59 make a straight line and equals 180, so subtract 59 from 180 to get y:
y = 180 - 59 = 121
Answers:
X = 16, y = 121
Hope this can help explain better got you. :)
The answer to you question is 4
