Question

Need help with math question

Answer 1

Answer:

7 18-inch wreaths

26 22-inch wreaths

Step-by-step explanation:

Let's say the number of 18-inch wreaths is x and the number of 22-inch wreaths is y.

We know that the number of 22-inch wreaths sold was 5 more than 3 times the number of 18-inch wreaths sold. We can write this into the expression as:

y = 5 + 3x

We also know that each 18-inch wreath was $20 and each 22-inch wreath was $25. The total cost was $790, so:

20x + 25y = 790

Now, let's substitute 5 + 3x in for y in the second equation:

20x + 25y = 790

20x + 25(5 + 3x) = 790

20x + 125 + 75x = 790

95x + 125 = 790

95x = 665

x = 7

Plug this value into y = 5 + 3x to find y:

y = 5 + 3x

y = 5 + 3 * 7 = 5 + 21 = 26

So, 7 18-inch wreaths were sold and 26 22-inch wreaths were sold.