# Math

A confectioner perchased several boxes of candy for \$6. He gave five boxes to his children, and sold the rest at 10 cents more per box than he had paid for them, and made a profit of 25% on his original cost. How much did a box of candy cost him?

1. 👍 0
2. 👎 0
3. 👁 66
asked by Lina
1. 1.25 * 6 = 7.5
profit = 1.5

let cost per box = c
sales price = s = c+.1
bought n
gave away 5
sold (n-5)

cost = n c = 6 so n=6/c
sales = (n-5)(c+.1)
so
(n-5)(c+.1) - 6 = 1.5

(6/c -5)(c+.1) = 7.5

6 -5c + .6/c -.5 = 7.5

-5c + .6/c = 2
-5 c^2 -2 c + .6 = 0

5 c^2 + 2 c -.6 = 0

c = [ -2 +/- sqrt(4 + 12) ]/10

c = [-2 + 4 ]/10

c = 0.2 or 20 cents

1. 👍 0
2. 👎 0
posted by Damon
2. How would you check it?

1. 👍 0
2. 👎 0
posted by Lina
3. If c = .2
n = 6/.2 = 30
so sold 25 for .3 so got 25*.3 = 7.5 sure enough

1. 👍 0
2. 👎 0
posted by Damon
4. thank you!

1. 👍 0
2. 👎 0
posted by Lina
5. You are welcome :)

1. 👍 0
2. 👎 0
posted by Damon
6. Bought X boxes.
Sold (x-5) boxes.

Cost = \$Y per box
Selling price = \$(y+0.1) per box.

P = \$6 * 1.25 = 7.50 = Sale price.

(x-5)(y+0.1) = 7.50
xy + 0.1x - 5y - 0.5 = 7.5

Eq1: xy + 0.1x - 5y = 8

Eq2: xy = \$6.00
Y = 6/x
In Eq1, replace Y with 6/x:
6 + 0.1x - 30/x = 8
0.1x - 30/x = 2
Multiply both sides by X:
0.1x^2 - 30 = 2x
0.1x^2 - 2x - 30 = 0
Multiply both sides by 10:
x^2 - 20x - 300 = 0
(x+10)(x-30) = 0

x+10 = 0, X = -10.
x-30 = 0, X = 30 Boxes bought.

x-5 = 30 - 5 = 25 Boxes sold.

30 * y = \$6.00
Y = \$0.20 per box. = Cost.

1. 👍 0
2. 👎 0
posted by Henry

## Similar Questions

1. ### Math

Robin and Emily are selling boxes of candy bars. Robin sells 36 boxes of candy and Emily sells 24 boxes of candy. Which expression, using the form a(b+c), represents the amount they sold altogether? a. 2(12+24) b. 4(9+6) c. 24(6 +

asked by Matt on October 4, 2016
2. ### Math

Robin and Emily are selling boxes of candy bars. Robin sells 36 boxes of candy and Emily sells 24 boxes of candy. Which expression, using the form a(b+c), represents the amount they sold together a. 2(12+24) b. 4(9+6) c. 24 (6 +

asked by Matt on October 4, 2016
3. ### 3rd grade math

sara wants to know how many boxes of cookies her entire girl scout troop sold. How could she use compatible numbers to find the sum? kate 52 boxes sara 43 boxes jen 18 boxes haliey 27 boxes

asked by Reid on October 31, 2013
4. ### 4th grade math fraction

Ashley bought 4 packages of juice boxes. There are 6 juice boxes in each package. She gave 2 juice boxes to each of 3 friends. How many juice boxes does Ashley have left?

asked by Ali on February 2, 2015
5. ### 6th Grade Math

Caleb sold boxes of candy. Some sold for \$2, and some sold for \$3. He sold a total of 35 boxes and received \$92. How many boxes did he sell for \$2?

asked by Karen on October 7, 2015
6. ### algebra

myrna spent \$21.95 on treats to put in Gift of Love boxes for the needy children in her city. A candy bar coasts \$0.80 and a bag of trail mix costs \$0.65. Myrna bought 7 more candy bags of trail mix than candy bars. How many candy

asked by Begging for help on April 10, 2018
7. ### Chem 1

In the ground state of element 115, how many electrons have ml=1 as one of their quantum numbers? Can anyone provide an explanation? I am kind of stuck... and I don't think it is too hard, I just don't know where to start. Thanks

asked by Rossi on October 24, 2006
8. ### singapore moth

Place the following digits in the boxes so that the sum of the digits in each straight line is the same. This is like a crossword 3 boxes across and 3 boxes down then 3 boxes across and 3 boxes down using digits 1,2,3,4,5,6,7,8,9.

asked by lori on November 4, 2012
9. ### math

A farm sells boxes of oranges for \$8 and boxes of grapefruits for \$12. The farm wants to ear at least 4,000. If he sells 210 boxes of oranges and 150 boxes of grapefruit will he earn at least \$4,000? If not how many more boxes of

asked by Katy on October 2, 2008
10. ### math

Camp Oaks gets 32 boxes of orange juice and 56 boxes o apple juice.Each shelf in the cupboard can hold 8 boxes of juice. What is the least number o shelves needed for all the juice boxes?

asked by samuel on January 21, 2015

More Similar Questions