Question

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.

Answer 1

@iGreen

Answer 2

First, what would 40% of .50 be?

Answer 3

0.20

Answer 4

Yes, so the sale price would be .70 correct?

Answer 5

Yes!

Answer 6

But the profit on that would only be .2. So we need to use the equation 500=.2x where x is the number of flowers.

Answer 7

So, The answer would be 2500?

Answer 8

Yes, 2500=flowers

Answer 9

o they sell a flower at 140% from the original price that would be
0.50$......100%
x$.............140%
x= 0.50*140/100=0.70$ a flower
to make 500$ you shoul sell 500/0.70= 714 flower

Answer 10

No, it has to be $500 in profit.

Answer 11

Not just $500.

Answer 12

p= = the profit they make
n = the number of flowers they sell
m = the mark-up of the flowers
c = the cost of a flower

Then

P = mcn - cn

Rearrange to find n

P = n(mc - c)

n = P / (mc - c)

Substituting values

n = 500 / (1.4*0.5 - 0.5)

n = 2500

They must sell 2500 flowers to make a profit of $500.

Answer 13

But the question says "They set the purchase price of each flower at the purchase price PLUS 40%." So should it be 0.50 plus 40% so It would be $0.70 a flower not $0.20??????

Answer 14

@sleepyjess

Answer 15

But they only make .20 profit on each flower