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Mr.Williams bought 30 muffins and pies. Each muffin cost 2.50 dollars and each pie cost 4.50$. The pies cost 9$ more than the muffins. How many of each item did he buy?


Please find the answer

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jcherry99

Answer:

Step-by-step explanation:

Let the muffin number = x

Let the pie number = y

x + y = 30                                 Solve for y. Subtract x from both sides

y = 30 - x    

Now calculate the cost

2.5 x + 9 = 4.5 y                        Substitute for y on the right.

2.5x  +9 =  4.5 (30 - x)              Remove the brackets.

2.5x  + 9 = 135 - 4.5 x               Add 4.5 x to both sides

2.5x + 4.5x + 9 = 135                Combine the left.

7x + 9 = 135                               Subtract 9 from both sides

7x = 135 - 9

7x = 126                                      Divide by 7                                

7x/7 = 126 / 7

x = 18

There were 18 muffins

x + y = 30

18 + y = 30                                Subtract 18 from both sides

y = 12

Answer:

  • 18 muffins
  • 12 pies

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