Question

HomePride manufactures solid oak racks for displaying baseball equipment and karate belts. They usually sell six times as many baseball racks as karate-belt racks. The net profit is $3 from each baseball rack and $5 from each karate-belt rack. If the company wants a total profit of $46,000, how many of each type of rack should they sell?
Write a system of two equations to solve the problem.

Answer 1

@yagirlmack Have you understood the problem?

Answer 2

i dont know how to answer this

Answer 3

Let the no. of baseball racks sold be x, and no. of karate-belt racks sold be y.
We are given the information
"They usually sell six times as many baseball racks as karate-belt racks"
so
\[x=6y\]
do you get this part ?

Answer 4

yes

Answer 5

"The net profit is $3 from each baseball rack and $5 from each karate-belt rack. If the company wants a total profit of $46,000"
\[Total\ profit= 3\times x+5 \times y\]
We are given that company wants a profit of $46,000
so
\[3x+5y=46000................(2)\]
We had found one equation earlier
\[x=6y....................(1)\]
Can you use equation (1) and (2) to find x and y ?

Answer 6

you can use equation 2

Answer 7

i think, idk

Answer 8

\[3x+5y=46000\]
We have x=6y, let's substitute for x
\[3(6y)+5y=46000\]
\[18y+5y=46000\]
Can you find y from this?

Answer 9

yes y=2000

Answer 10

Good :D
Now find x from this

Answer 11

how?

Answer 12

You have the equation
\[x=6y\]

Answer 13

so i would do x=6(2000)

Answer 14

yes

Answer 15

x=12000

Answer 16

what do i do from here?

Answer 17

The question is solved :D
no. of baseball racks sold is x, and no. of karate-belt racks sold is y.

Answer 18

okay thank you sooo much :D

Answer 19

Welcome :D