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9. The basketball team sold t-shirts and hats at a fundraiser. They sold a total of 23 items and made a
profit of $154. They made a profit of $8 from each t-shirt sold and a profit of $10 from each hat sold.
Identify your variables. Then, write and solve a system of equations to find the number of t-shirts and
hats the basketball team sold.

Respuesta :

samuelonum1

Answer:

t-shirts = 8, hats= 15

Step-by-step explanation:

let the no of of t-shirt be x

and the no of hats be y

[tex]x+y= 23-----------1[/tex]

[tex]8x+10y= 154---------2[/tex]

solving equations 1 and 2 simultaneously we have

multiplying equation 1 by 8 and subtracting from 2 we have

[tex]8x+8y=184-------------4\\-8x+10y=154------------2[/tex]  

[tex]=0x-2y=30[/tex]

[tex]y=\frac{-30}{2} \\y=-15[/tex]

y= 15

substituting y= 15 in equation 1 to find x we have

[tex]x+15=23\\x=23-15\\x= 8[/tex]

x=8

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