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Three types of shirts sold at a store cost $9.00, $11.00, and $12.50. One day, the store sells a total of 23 shirts and makes $243 on the sales. Twice as many shirts were sold for $12.50 than were sold for $11.00. If x represents $9.00 shirts, y represents $11.00 shirts and z represents $12.50 shirts, how many of each type of shirt were sold?

 Mar 26, 2020
 #1
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Check https://brainly.com/question/14199670

 

Hope this helped!

 Mar 26, 2020
 #2
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x = number of 9 dollar shirts. y = number of 11 dollar shirts. z = number of 12.50 dollar shirts. 

x + y + z = 23. 9x +11y +12.5z=243. 

z = 2y. 

We can replace the z with 2y. Our new equation becomes 9x +11y +12.5(2y)=243. Which becomes 9x + 11y + 25y. Which finally becomes 9x + 36y = 243. Now we can just use smart guess and check. If y = 1, x has to become 23. This doesn't work because it has to add up to 23. It will add up to 26.  x+3y has to equal 23. If y = 3, x = 9. That is too little. So we try y = 2, x = 19. This is still too much. So...there is no solution to this problem. Unless I did something wrong.  

 Mar 26, 2020

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