Question

Last year the girls basketball team sold t=shirts and hoodies at the beginning of the season. The team sold a total of 42 items. Once the team won the 11th region tital they decided to sell t-shirts and hoodies again. They sold ten times as many t-shirts and 4 times as many hoodies as before. The number of items sold after the region equals 312.
A. Assign labels to the unknowns
B. Write two equations to form a system to solve for the unknowns
C. Solve the systemm
D. How many of each item were sold after the girls won the region title.

Answer 1

So: Here we go:

a) T = tshirts and H = hoodies.

b) set up equations for the totals:
T + H = 42
10T + 4H = 312

c) solve the system, by multiplying top equation by -4.

(T + H = 42)* -4
10T + 4H = 312
----------------------
-4T +-4 H = -168
10T + 4H = 312 (add equations)
------------------------
6T = 144
T = 24.

Then T + H = 42 -> 24 + H = 42, H = 18.

d) then, since the after tourney is given by 10T + 4H = 312,

put in 10*24 = 240 T-shirts, and
4*18 = 72 Hoodies,

check by making sure: 72+240=312 --> and it does! 312 = 312, so the answer is right!

Answer 2

Thank you you awesome. I was having a hard time. I have another.