Q:

Need help with math question

Accepted Solution

A:
Answer:7 18-inch wreaths26 22-inch wreathsStep-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 + 3xWe also know that each 18-inch wreath was $20 and each 22-inch wreath was $25. The total cost was $790, so:20x + 25y = 790Now, let's substitute 5 + 3x in for y in the second equation:20x + 25y = 79020x + 25(5 + 3x) = 79020x + 125 + 75x = 79095x + 125 = 79095x = 665x = 7Plug this value into y = 5 + 3x to find y:y = 5 + 3xy = 5 + 3 * 7 = 5 + 21 = 26So, 7 18-inch wreaths were sold and 26 22-inch wreaths were sold.