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

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

if i did my math right then the answer should but 108