If you have 22 members and you have a toatl of $244 to spend but tshirts cost 10 and hats cost 12 how many of each can you get?

Question

this boy is trying to figure hout how many how many of each type oft thing htat he can get for his memeber but doesn know how many he can get. 

Answer 1

Question:  If you have 22 members and you have a toatl of $244 to spend but tshirts cost 10 and hats cost 12 how many of each can you get?

 

Hello Elena,

 

Sounds like a 'Systems of Linear Equations' problem.  Assuming each member can only buy one item,

let H be the number of hats and T be the number of T-Shirts.

 

Together then, H + T = 22.

Also, for the prices given, and the amount we have to spend, 10H + 12T = 244

 

From here I am going to use the 'Elimination Method', by multiplying the first equation by -10, and then add the two equations together:

 

-10H + -10T = -220

 10H +   12T = 244

----------------------

               2T = 24

                 T=12

 

Plug this value back into the first equation to get:

H + 12 = 22,

H = 10

 

Answer: (H,T) = (10,12): 10 Hats, 12 T-Shirts

 

Hope this helps.

Michael Ehlers