Jasmine buys 3 T-Shirts and 3 Hats for $\$11.25$. The next day, he buys 4 T-Shirts and 2 Hats for $\$10$. How much does each T-Shirt and each Hat cost? Write a system of equations that can be used to solve the problem. Then solve the problem.
+130081 Let the cost of one hat = H
Let the cost of one T-Shirt = T
So we have this system
4T + 2H = 10 divide through by 2 ⇒ 2T + H = 5 ⇒ H = 5 - 2T (1)
3 T + 3 H = 11.25 (2)
Sub (1) into (2) for H
3T + 3( 5 -2T)= 11.25
3T + 15 - 6T =11.25
-3T + 15 =11.25
-3T = 11.25 - 15
-3T = -3.75 divide both sides by -3
1.25 = cost of a T-Shirt
H = 5 - 2(1.25) = 5 - 2.50 = 2.50 = cost of a hat
