In the bakery 4 cupcakes in one box. If 6 cups were placed in the box, there would be 20 boxes left
empty. If 3 cupcakes were placed in each box, it
would run out of 20 boxes. Calculate how many
cupcakes were
in the bakery.

There were 240 cupcakes in the bakery

Step-by-step explanation:

Assume that the number of boxes used is x

∵ If 6 cups  were placed in the box, there would be 20 boxes left

∴ The number of cups in each box = 6

∴ The number of boxes used = (x - 20)

→ Multiply the number of cups in each box by the number of boxes

  used to find the total number of cups

∵ The number of cups = 6(x - 20)

∴ The number of cups = 6x - 120 ⇒ (1)

∵ If 3 cupcakes were placed in each box, it  would run out of 20 boxes

∴ The number of cups in each box = 3

∴ The number of boxes used = (x + 20)

→ Multiply the number of cups in each box by the number of boxes

  used to find the total number of cups

∵ The number of cups3(x + 20)

∴ The number of cups = 3x + 60 ⇒ (2)

∵ The number of cups is the same in the two cases

→ Equate the right sides of (1) and (2)

∴ 6x - 120 = 3x + 60

→ Add 120 to both sides

∴ 6x = 3x + 180

→ Subtract 3x from both sides

∴ 3x = 180

→ Divide both sides by 3 to find x

∴ x = 60

∴ The number of boxes used is 60

∵ In the bakery 4 cupcakes in one box

∵ The number of boxes is 60

∴ The number of cupcakes = 4 × 60

∴ The number of cupcakes = 240

∴ There were 240 cupcakes

i can answer this question sweetie!

step-by-step explanation:

in simplified version   it would be x ≤-4

step-by-step explanation:

multiply each term in x ≤-4 by -1