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.

Each shirt costs $1.25, and each hat costs $2.5.

Step-by-step explanation:

Let x= Cost per T-shirt, y = Cost per Hat.

As per given,

3x+3y=11.25        (i)

4x+2y=10             (ii)

Multiply 4 to equation (i)

12x+12y=45          (iii)

12x+6y= 30             (iv)

Eliminate (iv) from (iii), we get

6y= 15

⇒ y = 2.5

Put value of y in (i)

3x+3(2.5)=11.25

⇒3x+7.5=11.25

⇒3x= 3.75

⇒x= 1.25

Hence, each shirt costs $1.25, and each hat costs $2.5.

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

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