Question

Claudia was cooking breakfast for her entire family she may double the amount of chocolate chip pancakes as she did regular pancakes she only made half as many blueberry pancakes and she did regular pancakes Claudia also knows her family loves sausage so she made triple the amount of sausage as blueberry pancakes how many of each breakfast items and Claudio make if she cooked 90 items total

Answer 1

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