Question

Each scones sell for $1.50. The chorus profits are 80%of sale. Their current profits are $578.40. How many scones have they sold? Write and solve equation to find the answer

Answer 1

The correct answer is 1.2x = 578.40 where x is quantity of scones and the value of x is 482.

Explanation:

Selling price of each scones $1.50.

Chorus profit is 80% of the sale. Therefore chorus profit per piece is 80% of $1.50, i.e. $1.20.

Let x number of scones have been sold.

Total chorus profit selling x number of scones is $ 1.20x.

This value is given to be $578.40.

∴ 1.20x = 80% of 1.5x = 578.40

⇒ x = 482.

Thus 482 scones have been sold to have currents profit as $578.40.

Answer 2

482 scones.

Explanation:

Given:

Cost of each scones = $1.50

Their current profits are $578.40 which is 80% of his total sales.

Question asked:

How many scones have they sold ?

Solution:

Let total number of scones sold =
`x`

Cost of 1 scone = $1.50

Cost of
`x` scones = $1.50
`* x=\$1.5x` (Unitary method)

80% of his total sales = $578.40 (given)

`(80)/(100) *1.5x=578.40\\0.8*1.5x=578.40\\1.2x=578.40`

Dividing both sides by 1.2

`x=482\ scones`

Thus, they have sold 482 scones.