They sell cakes for $4 each and spent $45 for advertisement if each cake costs 80 cents to make, how many cakes do they need to sell to break even?

They need to sell 14 cakes to break even.

Step-by-step explanation:

The selling price of each cake = $ 4

The amount spent on the advertisement = $45

The cost of each cake  = 80 cents  =$ 0.8

Let us assume the number of cakes sold to BREAK EVEN  = m

⇒ For m cakes: TOTAL COST = TOTAL EARNED

Now, if the cost of 1 cake  = $0.8

So, the cost of making m cakes  = m X ( cost of 1 cake) = m x ( 0.8) = 0.8 m

Total Cost of m cakes  = Making cost + Advertisement cost

= 0.8 m + $45

⇒C = 0.8 m + 45   (1)

Here, the selling price of 1 cake  = $4

So, the cost of selling m cakes  = m X ( Sell cost of 1 cake)

= m x ( 4) = 4 m

⇒S = 4 m   (2)

To break even: S  = C  ⇒0.8 m + 45  =  4 m

or,  45 = 3.2 m

or, m = 45/3.2 =  14.06≈ 14

⇒ m  = 14

Hence, they need to sell 14 cakes to break even.

only 10/60 isn't equivalent

hope this : )