Answer: she made 36 chocolate chip pancakes, 18 regular pancakes, 9 blueberry pancakes and 27 sausagesl
Step-by-step explanation:
Let w represent the number of chocolate chip pancakes that she made.
Let x represent the number of regular pancakes that she made.
Let y represent the number of blueberry pancakes that she made.
Let z represent the number of sausages that she made.
she made double the amount of chocolate chip pancakes as she did regular pancakes. This means that
w = 2x
x = w/2
she only made half as many blueberry pancakes and she did regular pancakes. This means that
y = x/2
y = w/4
she made triple the amount of sausage as blueberry pancakes. This means that
z = 3y
z = 3w/4
if she cooked 90 items total, it means that
w + x + y + z = 90 - - - - - - - - - -1
Substituting x = w/2, y = w/4 and z = 3w/4 into equation 1, it becomes
w + w/2 + w/4 + 3w/4 = 90
Multiplying through by 4, it becomes
4w + 2w + w + 3w = 360
10w = 360
w = 360/10
w = 36
x = w/2 = 36/2
x = 18
y = w/4 = 36/4
y = 9
z = 3y = 3 × 9
z = 27
