Question

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

Answer 1

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