Question

Gabriel needs to purchase baseballs and bats for his youth baseball league. He’ll need at least 20 pieces of equipment, but he only has $525 to spend. Baseballs cost $20 each and bats cost $35 each. If Gabriel wants to purchase the most amount of equipment and still stay within his budget, which combination of baseballs and bats is optimal?

(19, 1)

(21, 3)

(14, 7)

(16, 4)
http://learn.flvs.net/webdav/assessment_images/educator_advalgebra_v10/02_00_14.gif

Answer 1

for this question your going to want to set up 2 equations and then solve the system

Answer 2

let x=baseballs and y=bats.
he can purchase 20 pieces of equipment therefore:
x+y=20

Answer 3

now the price of baseballs=$20 while bats=$35. he can only spend $525, so:
20x+35y=525.

Answer 4

So now you have two equations:

x+y=20
20x+35y=525

Answer 5

oKAY SO do i plus in what?

Answer 6

plug*

Answer 7

each option to both equations and see which one gives me both?

Answer 8

so either A or D?

Answer 9

I think its C

Answer 10

well since it is multiple choice. you can plug in the answers and see which one equals $525.

Answer 11

im stuck between B and C? what do you think

Answer 12

choice c would be the best because he will have maximized his budget of $525

Answer 13

when i gave you the system of equations it would actually be

x+y>or=20. because the question just says "at least 20 pices"

Answer 14

okay so ill go with C

Answer 15

could you help me with another one

Answer 16

i wish i had time sorry ill be back in a little bit i have to go register for classes

Answer 17

okay thanks

Answer 18

yw!