Angelica's service club is selling flowers for a fundraiser. Each flower costs them $0.50 to purchase. They set the sale price of each flower at the purchase price plus 40%. Write and solve an equation to determine how many flowers they will need to sell to make a profit of $500. Use complete sentences to explain what each number and variable in your equation represents. Write your solution in the context of the original problem.

Question

anonymous · Answer

Here's my answer:

Angelica's service club is selling flowers for a fundraiser. Each flower costs them $0.50 to purchase. They set the sale price of each flower at the purchase price plus 40%. Write and solve an equation to determine how many flowers they will need to sell to make a profit of $500. Use complete sentences to explain what each number and variable in your equation represents. Write your solution in the context of the original problem.


We will need to decide how much they are selling each flower for. It says they are charging what they paid, which is 50 cents per flower plus 40 percent.

.5 + .4(.5) = 0.7

They are charging 70 cents per flower. How many flowers do they need to sell to get $500?

500 = x * .70
.7x = 500.
X = 714.285714285714   (round to 715)

They will need to sell 715 flowers.

ganeshie8 · Answer

partially correct

anonymous · Answer

Patially? what is the incorrect part?

ganeshie8 · Answer

` Write and solve an equation to determine how many flowers they will need to sell to make a profit of $500.`

ganeshie8 · Answer

They want a profit of $500, not just sales

ganeshie8 · Answer

use below to setup the equation :

profit  =  (selling price) - (cost price)

anonymous · Answer

500 = x - 50??

ganeshie8 · Answer

profit  =  (selling price) - (cost price)

500    =   (x*0.7)  -  (x*0.5)

ganeshie8 · Answer

solve x

anonymous · Answer

okay, one minute

anonymous · Answer

500 =  (x⋅0.7)−  (x⋅0.5)
x = 2500

ganeshie8 · Answer

Excellent !
so they need to sell 2500 flowers to make a profit of 500

anonymous · Answer

i was sort of guessing though, i am an idiot.. :( idk what the steps are

anonymous · Answer

i mean, like.. i know theres pemdas but, i couldnt understand how to solve this.

anonymous · Answer

x * 0.7 = 0.7x       x * 0.5 = 0.5x
                 0.7x - 0.5x
                       0.2x

Right??

ganeshie8 · Answer

Looks perfect !

anonymous · Answer

okay thanks! but one more thing..

anonymous · Answer

this does not look like a full equation to me, i feel like im missing something

anonymous · Answer

division never came to my head im so dumb, lol

anonymous · Answer

thank you, i got it now..    

5 + .4(.5) = 0.7

profit = (selling price) - (cost price)


   x * 0.7 = 0.7x 
   x * 0.5 = 0.5x 
     0.7x - 0.5x 
          0.2x
 500 / 0.2 = 2500
       X = 2500